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Factorise the following expressions.(i) a2 + 8a + 16(ii) p2 − 10p + 25(iii) 25m2 + 30m + 9 |
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Answer» (i) a2 + 8a + 16 = (a)2 + 2 × a × 4 + (4)2 = (a + 4)2 [(x + y)2 = x2 + 2xy + y2] (ii) p2 − 10p + 25 = (p)2 − 2 × p × 5 + (5)2 = (p − 5)2 [(a − b)2 = a2 − 2ab + b2] (iii) 25m2 + 30m + 9 = (5m)2 + 2 × 5m × 3 + (3)2 = (5m + 3)2 [(a + b)2 = a2 + 2ab + b2 ] |
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