Factorize the following expressions:9 (a – b)2 – 100 (x – y)2 – InterviewSolution

1.

Factorize the following expressions:9 (a – b)2 – 100 (x – y)2

Answer»

We have,

9 (a – b)² – 100 (x – y)²

= [3 (a – b)]² – [10 (x – y)]

= [3 (a – b) + 10 (x + y)] [3 (a – b) – 10 (x – y)] [3a – 3b + 10x – 10y] [3a – 3b – 10x + 10y]

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