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Question
Factorize each of the following algebraic expressions:
−4(x − 2y)2 + 8(x −2y)
Solution
\[- 4(x - 2y )^2 + 8(x - 2y)\]
\[ = [ - 4(x - 2y) + 8](x - 2y) [\text{ Taking }(x - 2y)\text{ as the common factor }]\]
\[ = 4[ - (x - 2y) + 2](x - 2y) {\text{ Taking 4 as the common factor of }[ - 4(x - 2y) + 8]}\]
\[ = 4(2y - x + 2)(x - 2y)\]
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