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Use a suitable identity to get each of the following products.(i) (x + 3) (x + 3) (ii) (2y + 5) (2y + 5)(iii) (2a − 7) (2a − 7) |
Answer» The products will be as follows. (i) (x + 3) (x + 3) = (x + 3)2 = (x)2 + 2(x) (3) + (3)2 [(a + b)2 = a2 + 2ab + b2] = x2 + 6x + 9 (ii) (2y + 5) (2y + 5) = (2y + 5)2 = (2y)2 + 2(2y) (5) + (5)2 [(a + b)2 = a2 + 2ab + b2] = 4y2 + 20y + 25 (iii) (2a − 7) (2a − 7) = (2a − 7)2 = (2a)2 − 2(2a) (7) + (7)2 [(a − b)2 = a2 − 2ab + b2] = 4a2 − 28a + 49 |
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