Simplify the following expression:
​$$\frac{(3.2×3.2-0.2×0.2)}{(0.2×0.2-2×0.2×3.2+3.2×3.2)}$$​​

Correct option is C

Given:
Simplify the expression:

​$$\frac{(3.2 \times 3.2 - 0.2 \times 0.2)}{(0.2 \times 0.2 - 2 \times 0.2 \times 3.2 + 3.2 \times 3.2)}$$​

Formula Used:

​$$a^2 - b^2 = (a-b)(a+b)$$

$$(a - b)^2 = a^2 + b^2 - 2 ab$$​​

Solution:

Let, a = 3.2, b = 0.2

= $$\frac{(3.2 - 0.2) (3.2 + 0.2)}{(3.2 - 0.2)^2}$$

= $$\frac{(3.2 + 0.2)}{(3.2 - 0.2)}$$

=  $$\frac{3.4}{3}$$

= $$\frac{17}{15}$$

Thus, the correct optikon  is (c)