Question

Find the value of $\frac{(383.08{)}^2-(303.08{)}^2}{686.16}$.

• A. 8
• B. 383.08
• C. 80
• D. 800

Answer 1

The correct option is C

80

We know that $a^2$ - $b^2$ = $(a+b)(a-b)$

$\Rightarrow {383.08}^2$ - ${303.08}^2$
= (383.08 + 303.08)(383.08 - 303.08)
= 686.16 $\times$ 80

$\Rightarrow$ $\frac{\left({383.08}^2\right)-\left({303.08}^2\right)}{686.16}$
= $\frac{686.16\times 80}{686.16}$
= 80