Question

What is the value of $\frac{(67.542{)}^2-(32.458{)}^2}{75.458-40.374}$?

• A. $1$
• B. $10$
• C. $100$
• D. $-10$

Answer 1

The correct option is C $100$

$\frac{(67.542{)}^2-(32.458{)}^2}{75.458-40.374}$

Using $a^2-b^2=(a+b)(a-b)$

$=\frac{(67.542+32.458)(67.542-32.458)}{75.458-40.374}$

$=\frac{100\times 35.084}{35.084}$

$=100$