Examveda
Examveda

$$\frac{{{{\left( {469 + 174} \right)}^2} - {{\left( {469 - 174} \right)}^2}}}{{469 \times 174}} $$      = ?

A. 2

B. 4

C. 295

D. 643

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & {\text{Given expression,}} \cr & \frac{{{{\left( {a + b} \right)}^2} - {{\left( {a - b} \right)}^2}}}{{a b}} \cr & = \frac{{4ab}}{{ab}} \cr & = 4\,\,\,\,\,\left\{ {{\text{where }}a = 469,b = 174} \right\} \cr} $$

This Question Belongs to Arithmetic Ability >> Simplification

Join The Discussion

Related Questions on Simplification