2. Polynomials
medium

Evaluate $105 \times 106$ without multiplying directly.

A

$11130$

B

$10030$

C

$11120$

D

$12130$

Solution

$105 \times 106=(100+5) \times(100+6)$

$=(100)^{2}+(5+6)(100)+(5 \times 6),$ using Identity $IV$

$=10000+1100+30$

$=11130$

Standard 9
Mathematics

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