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Question
Factorize each of the following expressions:
x2 − 2ax − 2ab + bx
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Solution
\[x^2 - 2ax - 2ab + bx\]
\[ = ( x^2 - 2ax) + (bx - 2ab)\] [Regrouping the expressions]
\[ = x(x - 2a) + b(x - 2a)\]
\[ = (x + b)(x - 2a)\] [Taking (x - 2a) as the common factor]
\[ = (x - 2a)(x + b)\]
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