Question 278533: hey guys i need help with my algebra homework well its
9t^3+66t^2-48t
and the answer is 3t(3t-2)(t+8)
can you show me the steps? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 9t^3+66t^2-48t
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Common Factor: 3t
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= 3t(3t^2 + 22t - 16)
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think of two numbers whose product is -16*3 = -48 and whose sum = 22.
The numbers are +24 and -2
Rewrite the problem with substitution:
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= 3t(3t^2+24t-2t -16)
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= 3t(3t(t+8)-2(t+8))
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= 3t(t+8)(3t-2)
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Cheers,
Stan H.
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