Simplify : \(\dfrac{1.2 \times 1.2 \times 1.2 – 0.2 \times 0.2 \times 0.2}{1.2 \times 1.2 + 1.2 \times 0.2 + 0.2 \times 0.2}\)
\[
\frac{1.2^3 – 0.2^3}{1.2^2 + 1.2 \times 0.2 + 0.2^2}
\]
\[
= \frac{a^3 – b^3}{a^2 + ab + b^2}
\]
\[
= \frac{(a – b)(a^2 + ab + b^2)}{a^2 + ab + b^2}
\]
\[
= a – b
\]
\[
= 1.2 – 0.2
\]
\[
= 1
\]