InterviewSolution
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InterviewSolution
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Factorise the following:i) x2y2 – 64ii) 6x2 – 54iii) x2 – 81iv) 2x - 32x5 |
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Answer» i) x2y2 – 64 = (xy)2 – (8)2 = (xy + 8)(xy – 8) ii) 6x2 – 54 = 6x2 – 54 = 6x2 – 6 x 9 ‘ = 6(x2 – 9) = 6[(x)2 – (3)2] = 6(x + 3) (x – 3) iii) x2 – 81 = x2 – 81 = x2 – 92 = (x + 9 )(x – 9) iv) 2x – 32x5 = 2x – 32x5 = 2x – 2x x 16x4 = 2x(1 – 16x4) = 2x[(12) – (4x2)2] = 2x(1 + 4x2)(1 – 4x2) = 2x(1 + 4x2) [(12 – (2x)2] = 2x(1 + 4x2) (1 + 2x) (1 – 2x) |
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