Question

What is 125x9 64y12 written as a sum of cubes? (25x3)3 (4y4)3 (5x3)3 (16y4)3 (25x3)3 (8y4)3 (5x3)3 (4y4)3.

Answer 1

The factorization of $\rm 125x^9+64$  is $\rm (5x^3+4)(25x^6-20x^3+16)$  .

Factorization;

Factorization is nothing but writing a number as the product of smaller numbers.

Given

Polynomial; $\rm 125x^9+64$

To find the factorization the polynomial equates the equation with zero following all the steps given below.

Then,

The factor of the polynomial is;

$\rm 125x^9+64\\\\125x^9+100x^6+80x^3-100x^6-80x^3+56\\\\5x^3(25x^6-20x^3+16)+4(25x^6-20x^3+16)\\\\(5x^3+4)(25x^6-20x^3+16)$

Hence, the factorization of $\rm 125x^9+64$ is  $\rm (5x^3+4)(25x^6-20x^3+16)$ .

To know more about factorization click the link given below.

brainly.com/question/17595467