Question

1/8x^3-1/27y^3

Answer 1

a^3-b^3=(a-b)(a^2+ab+b^2)

That's the formula your gonna use for the difference of cubes.

So to get A and B, write out the cubes

a^3=1/8x^3
a^2=1/4x^2
a=1/2x

For B:
b^3=-1/27y^3
b^2=1/9y^2
b=1/3y

Answer 2

Plug it into the formula now for

(1/2x-1/3y)(1/4x^2+1/6xy+1/9y^2)

Answer 3

8 can be written as 2^3 and 27 can be written as 3^3