Question

evalute the following favourite without multiplying directly . 92×93​

Answer 1

Answer:

$92 \times 93 \\ (90 + 2)(90 + 3) \\ (x + a)(x + b) \: where \: x = 90 \: \\ a = 2 \: and \: b = \: 3 \\ = x {}^{2} + (a + b)x + ab \\ = (90) {}^{2} + (2 + 3) \times 90+ 2 \times 3 \\ = 8100 + 450 + 6 \\ = 8556$

Answer 2

Answer:

92 =100 - 8

93= 100-7

identity = x²+(a+b)×x +ab

= 100²+(-8)+(-7)×100+(-8)(-7)

10000 -15×100+56

10000-1500+56

=8556 is your answer

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