Resolve the following quadratic trinomial into factors

Resolve the following quadratic trinomial into factors
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Resolve the following quadratic trinomial into factors :

(2a−b)2+2(2a−b)−8

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Right Answer is:

SOLUTION

(2a−b)2+2(2a−b)−8                      {−8=4×(−2)2=4−2}=(2a−b)2+4(2a−b)−2(2a−b)−8=(2a−b)(2a−b+4)−2(2a−b+4)=(2a−b+4)(2a−b−2)

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