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Question
Factorize each of the following expression:
9(a − b)2 − 100(x − y)2
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Solution
\[9(a - b )^2 - 100(x - y )^2 \]
\[ = [3(a - b) ]^2 - [10(x - y) ]^2 \]
\[ = [3(a - b) - 10(x - y)][3(a - b) + 10(x - y)]\]
\[ = (3a - 3b - 10x + 10y)(3a - 3b + 10x - 10y)\]
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