Question

Which of the following is the correct factorization of the polynomial below?

8x3 + 27y3

A. (4x + 3y)(2x +9y)
B. (2x + 3y)(4x2 - 6xy + 9y2)
C. (4x + 3y)(2x2 - 2xy + 9y2)
D. The polynomial is irreducible.

Answer 1

the answer is b (2x + 3y)(4x2 - 6xy + 9y2)

Answer 2

It's B. This follows the pattern of the sum of perfect cubes which looks like this:
`(ax + b)( a^(2) x^(2) -abx+ b^(2) )`. Let a = 2 and b = 3y and fill in accordingly. (ax + b) would be filled in with (2x + 3y), etc.