raulmata015
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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.

Respuesta :

Luv2Teach
It's B.  This follows the pattern of the sum of perfect cubes which looks like this:[tex](ax + b)( a^{2} x^{2} -abx+ b^{2} )[/tex].  Let a = 2 and b = 3y and fill in accordingly.  (ax + b) would be filled in with (2x + 3y), etc.

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

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