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

Use the identity $a^2$ - $b^2$ = (a+b)(a-b)

${383.08}^2$ - ${303.08}^2$ = (383.08 + 303.08)(383.08 - 303.08)

= $686.16\times 80$

Therefore,

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