Question

# Simplify the given expression 0.54 x 0.54 – 0.46 x 0.46=${\text{A}}{\text{. }}{\left( {0.54 - 0.46} \right)^2} \\ {\text{B}}{\text{. }}{\left( {0.08} \right)^2} \\ {\text{C}}{\text{. 0}}{\text{.08}} \\ {\text{D}}{\text{. 8}} \\$

Hint – To simplify the equation given in the question we use the algebraic formula (${{\text{a}}^2}$– ${{\text{b}}^2}$) and solve for answer.

0.54x0.54 – 0.46x0.46 = $\left( {{{0.54}^2} - {{0.46}^2}} \right)$
⟹$\left( {{{0.54}^2} - {{0.46}^2}} \right)$ = (${{\text{a}}^2}$ – ${{\text{b}}^2}$)