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1. |
Find the product.(i) (x2 − 5) (x + 5) + 25(ii) (a2 + 5) (b3 + 3) + 5(iii) (t + s2) (t2 − s) |
Answer» (i) (x2 − 5) (x + 5) + 25 = x2 (x + 5) − 5 (x + 5) + 25 = x3 + 5x2 − 5x − 25 + 25 = x3 + 5x2 − 5x (ii) (a2 + 5) (b3 + 3) + 5 = a2 (b3 + 3) + 5 (b3 + 3) + 5 = a2b3 + 3a2 + 5b3 + 15 + 5 = a2b3 + 3a2 + 5b3 + 20 (iii) (t + s2) (t2 − s) = t (t2 − s) + s2 (t2 − s) = t3 − st + s2t2 − s3 |
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