A2-b2-c2+d2-2(ab-bc) factor – InterviewSolution

1.

A2-b2-c2+d2-2(ab-bc) factor

Answer»

a²-b²-c²+d²-2(ad-bc)

=a²-b²-c²+d²-2ad+2bc

=a²+d²-2ad-b²-c²+2bc

=(a²+d²-2ad)-(b²+c²-2bc)

=(a-d)²-(b+c)²

=[(a-d)+(b+c)][(a-d)-(b+c)]

=(a-d+b+c)(a-d-b-c)

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