SOLUTION: 6(a+b)^2 + 11(a+b) +3 Factor fully and please show steps.

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Question 394821: 6(a+b)^2 + 11(a+b) +3
Factor fully and please show steps.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
6(a+b)^2 + 11(a+b) +3
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Let (a+b) = w
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6w^2+11w+3
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Factor:
6w^2+9w+2w+3
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= 3w(2w+3) + (2w+3)
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= (2w+3)(w+1)
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Substitute:
= (2(a+b)+3)(a+b+1)
----
= (2a+2b+3)(a+b+1)
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Cheers,
Stan H.
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