Question

Evaluate each of the following by using Identities.

95 x 96​

Answer 1

95 × 96. = 8100 + 990 + 30 = 9120.

Answer 2

$95 \times 96 \: can \: \: also \: \: be \: \: written \: \: as \\ \\ \: (100 - 5)(100 - 6) \\ \\ (x - a)(x - b) = x^2 -b(x+a) –ax \\ \\ (100 - 5)(100 - 6) = {100}^{2} - 6(100 + 5) - 5 \times 100 \\ \\ = 10000 - 600 - 30 - 500 \\ \\ = 10000 - 1130 \\ \\ = 8870$