please help in it is simple question
[tex] {x}^{2} - 4 \\ {x}^{3} - 27[/tex]

Answers

Answer 1
x^2 - 4 = (x-2) x (x + 2)
x^3 - 27 = (x-3) x (x^2+ 3x+9)
Answer 2

1)

[tex]\sf {x}^{2} - 4 \\ \sf \: Use \: the \: sum \: product \: method[/tex]

[tex]\sf {x}^{2} - 4 \\ = \sf{x}^{2} + 2x - 2x - 4[/tex]

[tex]\sf \: Now \: take \: the \: common \: factor \: out \\ \sf{x}^{2} + 2x - 2x - 4 \\\sf = x(x + 2) - 2(x + 2)[/tex]

[tex]\sf \: Factorize \: it \\ \sf \: x(x + 2) - 2(x + 2) \\ = \sf(x - 2)(x + 2)[/tex]

Answer ⟶ [tex]\boxed{\bf{(x-2)(x+2)}}[/tex]

_________________________

2)

[tex]\sf {x}^{3} - 27[/tex]

[tex]\sf {x}^{3} \: and \: 27 \: ( {3}^{3} ) \: are \: perfect \: real \: cubes.[/tex]

[tex]\sf \: So \: use \: the \: algebraic \: identity \: \\ \sf {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )[/tex]

[tex]\sf \: a = \sqrt[3]{x^{3}} = x \\ \sf \: b = \sqrt[3]{27} = 3[/tex]

[tex] \sf \: {x}^{3} - {3}^{3} \\ \sf= (x - 3)( {x}^{2} + 3x + {3}^{2} ) \\ = \sf \: (x - 3)( {x}^{2} + 3x + 9)[/tex]

Answer ⟶ [tex]\boxed{\bf{(x-3)(x^{2}+3x+9)}}[/tex]


Related Questions

What is the probability of an event that is certain?

PLEASE HELPPP!!

Answers

Answer:

I think it would be 100%

Step-by-step explanation: because it is certain that means its going to happen

Translate this phrase into an algebraic expression.
the sum of 4 and twice a number is 12

Answers

Answer:

4+2x = 12

Step-by-step explanation:

sum means add an is means equal

4+2x = 12

Answer:4 + 2x = 12

Step-by-step explanation:

the sum of 4 and twice a number is 12:

Have a great day! I hope this helps!! :)

please answer all three.​

Answers

Answer:

842.04 cm³

Step-by-step explanation:

Cylinder:

diameter = 6 cm

r = 6/2 = 3cm

h = 4 cm

Volume of cylinder = πr²h

                               = 3.14 * 3 * 3 * 4

                               = 113.04 cm³

Cube:

side = 9 cm

Volume of cube = side * side *side

                           = 9*9*9

                             = 729 cm³

Volume 0f composite figure = volume of cylinder + volume of cube

      = 113.04 + 729

      = 842.04 cm³

Answer:

1181.16

Step-by-step explanation:

Cylinder + Cube = 1181.16

help me pleaseeeeeeeee​

Answers

5^2x common
5^2x(5+1)=150
5^2x=25
5^2x=5^2
2x=2
x=1

melanie is cutting a 6 1/2 inch piece of yarn from a string that is 15 3/4 inches long how much yarn will be left

Answers

Answer:

9 1/4 inches would be left

Step-by-step explanation:

17. PLEASE HELP ME
The area of a playground is 160 yd2. The width of the playground is 6 yd longer than its length. Find the length and width of the playground.

A. length = 16 yd, width = 22 yd

B. length = 16 yd, width = 10 yd

C. length = 22 yd, width = 16 yd

D. length = 10 yd, width = 16 yd

Answers

Answer:

b

Step-by-step explanation:

16x10=160

Your width should be 6yd longer so look at the options and see in which options the width is 6 yd longer. It is longer in option A and D, so this eliminates option B and C. Now that we know it’s not b or c, the width times the length should be 160. For option A the area is 352 not 160, so it’s not option A meaning it has to be option D. Just to check 10 x 16 is 160. So yes option d is your final answer. OPTION D. Hope this helps! Would really appreciate it I’ve given brainliest.

How do I do this question it is really hard

Answers

Answer:

Step-by-step explanation:

what is the side length of the square in cm

Answers

Answer:

8.4 cm^2

Step-by-step explanation:

The area of the rectangle is

A = lw

A = 3x *5x = 15x^2

126 = 15x^2

126/ 15 =15x^2/15

42/5 = x^2

We want to find the area of the square

A = l*w

A = x*x

A = x^2 = 42/5 = 8.4 cm^2

Find the coordinates of the image of G(−3,9) after the translation (x,y)→(x+10,y−7) .
(13, 2)
(13, 16)
(7, 16)
(7, 2)

Answers

Answer:

D. (7,2)

Step-by-step explanation:

-3 +10 is 7

9-7 is 2.

kinda just put them together, you get (7, 2)

I hope this helps!

pls ❤ and mark brainliest pls!

The image of (-3, 9) is (7,2).

Mathematically speaking, a translation is defined by the following operation:

[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.[tex]T(x,y)[/tex] - Translation vector.[tex]P'(x,y)[/tex] - Resulting point.

If we know that [tex]P(x,y) = (-3, 9)[/tex] and [tex]T(x,y) = (10, -7)[/tex], then the resulting point is:

[tex]P'(x,y) = (-3, 9) + (10, -7)[/tex]

[tex]P'(x,y) = (7, 2)[/tex]

Hence, the image of (-3, 9) is (7,2).

We kindly invite you to check this question on translation: https://brainly.com/question/12463306

Is (7,0) a solution to the equation y = x - 2?

Answers

Answer:

no

Step-by-step explanation:

because 7-7=0 and it doesn't subtract by 2

it is not equal to y=x-2

Answer:

no

Step-by-step explanation:

y = x-2

Let x = 7 and y=0

0 = 7-2

0 =5

This is not a true statement so (7,0) is not a solution

PLZ HELP!! ASAP PLZ!! NO FILES.

Answers

Answer:

Slope is (1/4)

Step-by-step explanation:

The slope is calculated by (6-5)/(5-1)=1/4


Solve for X. Geometry

Answers

Answer:

11

Step-by-step explanation:

6+(2x+28)=x+23=-11 -> Answer can't be negative -> 11

On a map, 1 in represents 420 miles. How much does 3/4 in represent?

Answers

Answer:

315

Step-by-step explanation:

420 x 3/4 = 315

Answer:

315 miles

Step-by-step explanation:

We can write a ratio to solve

1 inch          3/4 inches

------------   = ---------------

420 miles     x miles

Using cross products

1 * x = 420 * 3/4

x=315

Factorize this and solve no p, q, s, t, w​

Answers

explanation:

all the questions are solved

in question no. s and t u need to divide the number in two different parts to slove

for no. w we can get two type of solution.

p and q u need to give the power of whole .

Write the following expression as a simplified polynomial in standard form.
(x-4)^2+3(x-4)+6

Answers

Answer:

x6−24x5+240x4−1280x3+3840x2−6144x+4102

Step-by-step explanation:

I don't know if this is right or not but there ig?

(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]

Answers

Answer:

80

Step-by-step explanation:

Let's write out the equation:

8(20+80/2)/[(54/9+14)/4]

For the first part we get 8(100/2)

Then 50x8

Then 400

For the second part we have (6+14)/4 as we divide 54 by 9. PEMDAS

Then 20/4

Then 5

So our final answer is 400/5 which is 80.

Hope this helps!

The given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].

What is function?

A function is a relation between a dependent and independent variable.

We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the mathematical statement as -

(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]

We can write the given statement in the form of mathematical expression as -

{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4]

Simplifying, we get -

{x} = {100/16} ÷ {54/23}/4

{x} = 100/16 ÷ 54/92

{x} = 100/16 x 92/54

{x} = 10.64

Therefore, the given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].

To solve more questions on functions, visit the link below-https://brainly.com/question/30194223

#SPJ2

what must be subtracted from 61 to get 5

Answers

Answer: 56

Step-by-step explanation:

Let x be the number that is supposed to be subtracted from 61.

Given

61 - x = 5

Add both sides by x

61 - x + x = 5 + x

61 = 5 + x

Subtract 5 on both sides

61 - 5 = 5 + x - 5

x = 56

Hope this helps!! :)

Please let me know if you have any questions

If you have nine over 1 cups of jelly worms in a recipe that calls for one over 2 cups of jelly worms how many batches of the recipe can you make

Answers

Answer:

13

Step-by-step explanation:

Can someone give me an example on how to solve non right angled triangles?

Answers

First use the

Pythagorean theorem to find the hypotenuse h of the right triangle.

h = √(62 + 82)

= √(36 + 64)

= 10

20. PLEASE HELP ME
Solve the equation using the zero-product property.

(x-8)(5x-6)=0

A. x = 8 or x = -1 1/5

B. x = –8 or x = 1 1/5

C. x = –1 or x = 5

D. x = 8 or x = 1 1/5

Answers

Answer:

D. x = 8 or x = 1 1/5

Step-by-step explanation:

x = 8 6/5

x = 8 1/5

zero-product property says to equate each factors to 0 .

so the factors in (x − 8)(5x − 6) = 0

are (x-8) and (5x-6)

hence equating them to 0

x-8 =0 or 5x-6 =0

x=8  or 5x=6

x=8 or x=6/5

x=8 or x= 1 and 1/5

Answer:

b) X =8 of X =11/5 is your answer

PLEASE! I need Help. 50 POINTS!!

Answers

Answer:

-5^ 5

Step-by-step explanation:

-5^7 ÷ -5^2

We know that a^b ÷ a^c = a^ (b-c)

-5^(7 - 2)

-5^ 5

Answer:

C

Step-by-step explanation:

subtract exponents

Evaluate: ab for a = 2 and b = 5

Answers

a:2 and b:5
an:2*5:10
ab=5×2ab=10answer is option c

please mark this answer as brainlist

make x the subject a=7x/k-r

Answers

Answer:

x = [tex]\frac{a(k-r)}{7}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{7x}{k-r}[/tex] ( multiply both sides by (k - r) )

a(k - r) = 7x ( divide both sides by 7 )

[tex]\frac{a(k-r)}{7}[/tex] = x

Someone please answer B for me 15 Points marking brainliest

Answers

Step-by-step explanation:

since you have figured out A already, what is the problem with B ? you "only" need to calculate the perimeter of the shape.

basically the same assumptions as for the area calculations :

the "inner" sides are truly parallel to the line outer sides, so that they are both 12-4=8 m long.

and I assume here in addition that the side with the tiles in front contains a door, which is usually 1 m wide. and for that length we don't need trim of the baseboards (as there are none, where there is a door).

so the needed trim is

12+12+4+8+8+(4-1) = 24+4+16+3 = 47 m

but if my assumption about the door is wrong, then you need to add an additional meter. = 48 m.

and if the side with the tiles does not need any baseboards and corresponding trim at all (for whatever reason), you need to subtract that side completely. = 44 m

Use the information in the figure. If F=116, find E

58
32
116
64

Answers

Step-by-step explanation:

Given that,

m∠F = 116°

We have to find the value of mE.

Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, E and D will be equal. Let us assume the measures of both ∠E and ∠D as x.

→ Sum of all the interior angles of ∆ = 180°

→ ∠E + ∠D + ∠F = 180°

→ 116° + x + x = 180°

→ 2x = 180° – 116°

→ 2x = 64°

→ x = 64° ÷ 2

→ x = 32°

Henceforth,

→ m∠E = x

m∠E = 32°

[tex] \\ [/tex]

~

solue for &
X(3 + X) = 3x + x²

Answers

3x+x^2=3x+x^2

3x-3x=x^2-x^2

which means x=0

Write and solve a word problem that can be modeled by addition of two negative integers.

Answers

Answer:

Step-by-step explanation:

Question:

Max needs to purchase a car and  withdraws $100 from his bank. In a few days he withdraws another $50 to make same repairs. In total what is the change in his bank balance from theese two costs?

Solution:

(-100) + (-50) =

-150

Answered by G a u t h m a t h

PLSSS HELPPPP AYUDA PLSSS URGENT AS WELL PLSS PSL PSL evaluate this expression “(-7x^3 + 9x^2 - 3) x (-2x^2 - 5x + 6)???

Answers

Answer: 14x^5 + 17x^4 - 87x^3 + 60x^2 + 15x - 18

Step-by-step explanation: You would need to simplify the expression by using distributive property.

Brody works part-time at a veterinarian's office in addition to going to college, and he is paid twice a month. Which type of budget would likely work best for Brody?

Answers

The type of budget that would likely work best for Brody is biweeky budget.

Budget is an economic term that refers to the planning and advance formulation of expenses and income. The budget is a tool to organize expenses depending on the amount of money available.

The type of budget that would be best for Brody is a biweekly budget because he receives his payment every fifteen days (twice a month). So, he  can schedule his expenses each time he receives his payment, in this way he  does not spend all his money before he receives the next payment.

Additionally, weekly, monthly, and dairy are not correct options because they do not fit the time periods in which Brody receives payment for his services.

Learn more in: https://brainly.com/question/141889

Note:

This question is incomplete because options are missing, here are the options.

Daily budget

Biweekly budget

Monthly budget

Weekly budget

Does the graph represent a linear expression?

Yes or No

Please answer fast!

Answers

Yes it does goes over the c axis
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