Question

What is the factor of 8x^6+27y^3?
The answer is (2x^2+3y) Please just explain how this is the answer.

Answer 1

\(\bf
8x^6+27y^3\\
\color{blue}{\text{keep in mind that }a^3+b^3 = (a+b)(a^2-ab+b^2)}\\
8 \implies 2^3\\
x^6 \implies (x^2)^3\\
27 \implies 3^3\\
\text{thus then}\\
8x^6+27y^3 \implies (2x^2)^3+(3y)^3
\)

Answer 2

so plug your terms in the \(\bf (a+b)(a^2-ab+b^2)\) factored form

Answer 3

@jdoe0001 Thank-You!!! so much!

Answer 4

:3

Answer 5

yw