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Factorize each of the following expressions:(i) a (a + b – c) – bc(ii) x2 – 11xy – x + 11y(iii) ab – a – b + 1 |
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Answer» (i) a (a + b – c) – bc = a2 + ab – ac – bc = a (a + b) – c (a + b) = (a + b) (a – c) (ii) x2 – 11xy – x + 11y = x2 – x – 11xy + 11y = x (x – 1) – 11y (x – 1) = (x – 11y) (x – 1) (iii) ab – a – b + 1 = a (b – 1) – 1 (b – 1) = (a – 1) (b – 1) |
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