Question

$\text{Using an identity, evaluate}166\times 94.$

• A. 15604
• B. 14551
• C. 14562
• D. 13552

Answer 1

The correct option is A

15604

$\text{To evaluate :}166\times 94$

The average of 166 and 94
$=\frac{166+94}{2}=130$

$\text{Hence,}166\times 94\text{can be written as}$
$(130+36)(130-36).$

By applying the identity $(a+b)(a-b)=a^2-b^2,$

$166\times 94=(130+36)(130-36)$
$={130}^2-{36}^2=16900-1296=15604$