Question

(${107}^2$) = . (Evaluate using identities.)

• A. 11449
• B. 11249
• C. 16269
• D. 18149

Answer 1

The correct option is A 11449

Using the identity,
$(a+b{)}^2=a^2+2ab+b^2$,
$\Rightarrow$ ${107}^2$ = $(100+7{)}^2$
= ${100}^2+2\times \left(100\right)\times \left(7\right)+7^2$
= 10000 + 1400 + 49
= 11449.