SOLUTION: 2(x-3)(x+2)^(2)+2(x+2)(x-3)^(3) Please factorize the above equation.PLEASE SHOW THE STEP.IM CONFUSED. THANKS

Question 523288: 2(x-3)(x+2)^(2)+2(x+2)(x-3)^(3)
Please factorize the above equation.PLEASE SHOW THE STEP.IM CONFUSED.
THANKS
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2(x-3)(x+2)^(2)+2(x+2)(x-3)^(3)
Please factor
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Common Factor: 2(x+2)(x-3)
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Divide both terms to get the other factor:
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= 2(x+2)(x-3)[(x+2) + (x-3)^2]
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= 2(x+2)(x-3) [x+2 + x^2-6x+9]
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= 2(x+2)(x-3)[x^2-5x+11}
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Cheers,
Stan H.
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