Question

Evaluate the following using suitable identity :
213×187

Please solve step by step...

Answer 1

213×187
(200+13)(200-13)
(200)^2-(13)^2
40000-169
39831

Answer 2

$213 \times 187 = (200 + 13) \times (200 - 13)$
$using \: identity \: (x + y)(x - y) = x {}^{2} - y {}^{2}$
$(200 + 13) \times (200 - 13) = (200) {}^{2} - (13) {}^{2}$
$= 40000 - 169 = 39831$
hope it helps...