The factorization of [tex]\rm 125x^9+64[/tex] is [tex]\rm (5x^3+4)(25x^6-20x^3+16)[/tex] .
Factorization is nothing but writing a number as the product of smaller numbers.
Given
Polynomial; [tex]\rm 125x^9+64[/tex]
To find the factorization the polynomial equates the equation with zero following all the steps given below.
Then,
The factor of the polynomial is;
[tex]\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)[/tex]
Hence, the factorization of [tex]\rm 125x^9+64[/tex] is [tex]\rm (5x^3+4)(25x^6-20x^3+16)[/tex] .
To know more about factorization click the link given below.
brainly.com/question/17595467
