Question

$\frac{{\left(7.59\right)}^2-{\left(5.23\right)}^2}{3-0.64}=?$

• A. $12.28$
• B. $12.82$
• C. $18.12$
• D. $18.21$

Answer 1

The correct option is B $12.82$

$(a^2-b^2)=(a+b)\times (a-b)$

Applying the formula $\Rightarrow {7.59}^2-{5.23}^2=(7.59+5.23)(7.59-5.23)$

$=\left(12.82\right)\times \left(2.36\right)$

$\therefore ({7.59}^2-{5.23}^2)÷(3-0.64)=(12.82\times 2.36)÷\left(2.36\right)$

$=12.82$