Question

eavalute the following using the identity (x+a)(x+b)=x^2 + (a+b)x+ab: 102×95​

Answer 1

Answer:

$let \\ 102 = 100 + 2 \\ 95 = 100 - 5 \\ so \: x = 100 \\ a = 2 \: \: \: \: \: b = - 5 \\ then \\ 102 \times 95 = (100 + 2)(100 - 5) \\ = {(100)}^{2} + (2 - 5)100 + (2 \times ( - 5)) \\ = 10000 - 300 - 10 \\ = 9690$

Answer 2

Answer:

9690

Explanation:

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