Find the value of $$\frac{(82 + 28)^2 - (82 - 28)^2}{82 \times 28}$$​​

Correct option is C

Given:

​$$\frac{(82 + 28)^2 - (82 - 28)^2}{82 \times 28}$$​​

Formula Used:

$$(a + b)^2 = a^2 + 2ab + b^2$$  

$$(a - b)^2 = a^2 - 2ab + b^2$$​  

Solution:

​$$\frac{(82 + 28)^2 - (82 - 28)^2}{82 \times 28}$$ 

= $$\frac{\left((82 + 28) - (82 - 28)\right)\left((82 + 28) + (82 - 28)\right)}{84\times28}$$ 

=$$\frac{56 \times 164}{82 \times 28}$$ 

=4