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Question
Factorize each of the following expression:
x2 − 11xy − x + 11y
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Solution
\[x^2 - 11xy - x + 11y = ( x^2 - x) + (11y - 11xy) \][Regrouping the expressions]
\[ = x(x - 1) + 11y(1 - x)\]
\[ = x(x - 1) - 11y(x - 1) [ \because (1 - x) = - (x - 1)]\]
\[ = (x - 11y)(x - 1) \][Taking out the common factor (x - 1)]
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