Question

Find the value of 201 X 202 by using suitable identity.

Answer 1

Answer:

the answer is 40602

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Answer 2

$= 201 \times 202 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (200 + 1)(200 + 2)$

$(x + a)(x + b) = {x}^{2} + (a + b)x + ab \\ \: \: \: \: \: \: \: (200 + 1)(200 + 2) = {200}^{2} + (1 + 2)200 + (1)(2) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 40000 + (3)200 + 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 40000 + 600 + 2 \\ \: \: \: \: = 40602$