Find the value of $$\frac{(74+47)^2+(74-47)^2}{74^2+47^2}$$​

Correct option is A

Given:

​$$\frac{(74 + 47)^2 + (74 - 47)^2}{74^2 + 47^2}$$​​

Formula Used:

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

Solution:
$$\frac{(74 + 47)^2 + (74 - 47)^2}{74^2 + 47^2}$$​

​$$=\frac{2(74^2 + 47^2)}{74^2 + 47^2}$$​

= 2