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Factorize(i) 81a2 – 121b2(ii) x2 + 8x + 16 |
Answer» (i) 81a2 – 121b2 = (9a)2 – (11b)2 [∵ using a2 – b2 = (a + b)2] = (9a + 11b) (9a – 11b) (ii) x2 + 8x + 16 = x2 + 2 × x × 4 + 42 [∵ using a2 + 2ab + b2 = (a + b)2] = (x + 4)2 = (x + 4)(x + 4) |
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