SOLUTION: Factorise 2{{{ (a+b)^2} }}-9(a+b)-5?

Question 460136: Factorise 2 (a+b)^2} }}-9(a+b)-5?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2(a+b)^2} -9(a+b) -5
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Let a+b = w
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Rewrite the problem:
2w^2 - 9w - 5
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= 2w^2-10w+w-5
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= 2w(w-5)+(w-5)
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= (w-5)(2w+1)
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Change back to a+b
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= (a+b-5)(2(a+b)+1)
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= (a+b-5)(2a+2b+1)
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Cheers,
Stan H.
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