Question

Use the Binomial Theorem to expand the binomial.

(x + 2y^2)^3

A. x^3 - 3x^2y^2 + 3xy^4 - y^6

B. x^3 + 6x^2y^2 + 12xy^4 + 8y^6

C. x^3 - 6x^2y^2 + 12xy^4 - 8y^6

D. x^3 + 3x^2y^2 + 3xy^4 + y^6

Answer 1

We have:
\[
(x+2y^2)^3
\]With coefficients \(\{1, 3, 3, 1\}\), which is:
\[
1x^3+3(x^2)(2y^2)+3(x)(2y^2)^2+1(2y^2)^3=(x+2y^2)^3
\]Use that to finish your problem.

Answer 2

B?

Answer 3

Yep.