Question

Evaluate 101×103 without multiplying directly

Answer 1

103*100=10300

103*101=10300+(3*1)

=10303

Answer 2

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Evaluate 101×103 without multiplying directly.

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$101 \times 103$

$(100 + 1)(100 + 3)$

${(100)}^{2} + (1+ 3) \times 100 + 1 \times 3$

$10000 +400 + 300$

$10700$

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$\bf{(x + a)(x+b)={x}^{2} +(a+b)\times100+ab}$