Question

The value of $\frac{(469+174{)}^2-(469-174{)}^2}{469\times 174}=$________.

• A. $2$
• B. $4$
• C. $295$
• D. $643$

Answer 1

The correct option is B $4$

Given, $\frac{(469+174{)}^2-(469-174{)}^2}{469\times 174}$

$\Rightarrow$ $\frac{(469{)}^2+2(469\left)\right(174)+(174{)}^2-\left[\right(469{)}^2-2\left(469\right)\left(174\right)+\left(174{)}^2\right]}{469\times 174}$

$\Rightarrow$ $\frac{(469{)}^2+2\times 469\times 174+(174{)}^2-(469{)}^2+2\times 469\times 174-(174{)}^2}{469\times 174}$

$\Rightarrow$ $\frac{4\times 469\times 174}{469\times 174}$

$\Rightarrow$ $4$