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4 years ago

Enter the correct answer in the box. Use the sum of cubes identity to find the factors of the expression 8x^6 + 27y^3

Mathematics

2 answers:

Dovator [93]4 years ago

4 0

Answer:

(2x^2 + 3y)(4x^4 - 6x^2y + 9y^2).

Step-by-step explanation:

a^3 + b^3 = (a + b)(a^2 - ab + b^2) is the identity.

Comparing this with the sum in the question:

a = 2x^2 and b = 3y so we have:

8x^6 + 27y^3 = (2x^2 + 3y)(4x^4 - 2x^2*3y + 9y^2)

= (2x^2 + 3y)(4x^4 - 6x^2y + 9y^2).

KengaRu [80]4 years ago

3 0

I need this answer too

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3 years ago

Read 2 more answers

Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

Zigmanuir [339]

Answer:

$672\pi \text{ cm}^3$ .

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.

We will use volume formula of sphere to solve our given problem.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

$\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3$

$\text{Difference of volumes}=4\pi(168)\text{ cm}^3$

$\text{Difference of volumes}=672\pi\text{ cm}^3$

Therefore, the difference between volumes of the spheres is $672\pi \text{ cm}^3$ .

3 0

3 years ago

Help me please I dont understand

Vaselesa [24]

Answer:

42°

Step-by-step explanation:

This is right triangle and sum of 2 angles is 90°:

y+48°=90°

so y= 90°- 48°= 42°

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3 years ago

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3 years ago

3.5x^3-2.3x^2+1.4x+15.6-1.2x^3+4.5x^2-0.3x-3.2

Kamila [148]

Answer: 12.4 + 1.1x + 2.2x^2 + 2.3x^3

Step-by-step explanation:

add the like variables

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3 years ago