Identify Variables

Let $a = 0.6$ and $b = 0.4$ to simplify the expression structure.

$a = 0.6, \quad b = 0.4$

Rewrite Numerator using Identity

Notice that $0.48$ can be written as $2 \times 0.6 \times 0.4 = 2ab$. Thus, the numerator becomes $a^2 + b^2 - 2ab = (a - b)^2$.

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

Substitute and Simplify

Substitute back into the expression: $\frac{(a - b)^2}{a - b} = a - b$.

$\frac{(a - b)^2}{a - b} = a - b$

Calculate Final Value

Substitute the values of $a$ and $b$ to get $0.6 - 0.4 = 0.2$.

$0.6 - 0.4 = 0.2$