3 years ago

A city's water tower is in the shape of a sphere with a radius of 12 feet.

Mathematics

1 answer:

Nuetrik [128]3 years ago

5 0

I know im late but for other people the answer is C 2304π ft3

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How would the sum of cubes formula be used to factor x3y3 + 343? Explain the process. Do not write the factorization.

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Answer:

Given : Expression - $x^3y^3+343$

To find : How would the sum of cubes formula be used to factor given expression? Explain the process. Do not write the factorization.

Solution :

The formula of sum of cubes is,

$a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)$

First we convert the given expression in $a^3+b^3$

$x^3y^3+343$

Apply exponent rule : $a^mb^m=(ab)^m$

$x^3y^3=(xy)^3$

Rewrite $343=7^3$

Therefore, $x^3y^3+343$ could be written as $=\left(xy\right)^3+7^3$

On comparison with the formula,

a=xy , b=7

$\left(xy\right)^3+7^3=(xy+7)(xy^2-xy(7)+7^2)$

$\left(xy\right)^3+7^3=(xy+7)((xy)^2-7xy+49)$

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Answer:

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Step-by-step explanation:

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