SOLUTION: Factor Completely. Note: Can be worked without expanding. {{{ (x+1)^3*(4x-9)-(16x+9)*(x+1)^2 }}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor Completely. Note: Can be worked without expanding. {{{ (x+1)^3*(4x-9)-(16x+9)*(x+1)^2 }}}      Log On


   

Question 94640: Factor Completely. Note: Can be worked without expanding.
+%28x%2B1%29%5E3%2A%284x-9%29-%2816x%2B9%29%2A%28x%2B1%29%5E2+
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(x+1)^3*(4x-9)-(16x+9)*(x+1)^2
Common factor: (x+1)^2
=[x+1]^2[(x+1)(4x-9)-(16x+9)
=[x+1]^2[4x^2-5x-9-16x-9]
=[x+1]^2[4x^2-21x-18]
=[x+1]^2[4x+3][x-6]
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Cheers,
Stan H.