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Factorize each of the following expressions:(i) 6xy + 6 – 9y – 4x(ii) x2 – 2ax – 2ab + bx(iii) x3 – 2x2y + 3xy2 – 6y3 |
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Answer» (i) 6xy + 6 – 9y – 4x = 6xy – 4x – 9y + 6 = 2x (3y – 2) – 3 (3y – 2) = (2x – 3) (3y – 2) (ii) x2 – 2ax – 2ab + bx = x2 + bx – 2ax – 2ab = x (x + b) – 2a (x + b) = (x – 2a) (x + b) (iii) x3 – 2x2y + 3xy2 – 6y3 = x3 + 3xy2 – 2x2y – 6y3 = x (x2 + 3y2) – 2y (x2 + 3y2) = (x – 2y) (x2 + 3y2) (iv) abx2 + (ay – b) x – y = abx2 – ayx – bx – y = abx2 – bx – ayx – y = bx (ax – 1) + y (ax – 1) = (bx + y) (ax – 1) |
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