On factorization of expressions reducible to a³+-b³ form
5. Factorize:
(a) x³+3x² + 3x +28
Answer: (x+4) (x²-x+7)
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Answer:
= x^3 + 4x^2 - x^2 + 3x + 28
= x^3 - x^2 + 7x - 4x + 4x^2 + 28
= x^3 + 4x^2 - x^2 - 4x + 7x + 28
= x^2 ( x + 4) - x ( x + 4) + 7( x + 4)
=( x+ 4) ( x^2 -x + 7)
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