Question

Find the product:
(x + 2y)^3

Answer 1

\[(x+2y)^3=(x+2y)\times(x+2y)\times(x+2y)\]

Answer 2

\[=(x^2+4xy+4y^2)(x+2y)\]

Answer 3

\[=x^3+2x^2y+4x^2y+8xy^2+4xy^2+8y^3\]
\[=x^3+6x^2y+12xy^2+8y^3\]

Answer 4

These are the possible answers:

A. x^3 + 8y^3
B. x^3 + 6xy + 8y^3
C. x^3 + 12x^2y + 6xy^2 + 8y^3
D. x^3 + 6x^2y + 12xy^2 + 8y^3

Is it D?

Answer 5

Is it D @UnkleRhaukus ?

Answer 6

\[=x^3 + 6x^2y + 12xy^2 + 8y^3\]is exactly the same as
D. x^3 + 6x^2y + 12xy^2 + 8y^3

Answer 7

Oh okkay thanks! : )