Simplify : \(\dfrac{155 \times 155 \times 155 – 55 \times 55 \times 55}{155 \times 155 + 155 \times 55 + 55 \times 55}\)
\[
\frac{155^3 – 55^3}{155^2 + 155 \times 55 + 55^2}
\]
\[
= \frac{a^3 – b^3}{a^2 + ab + b^2}
\]
\[
= \frac{(a – b)(a^2 + ab + b^2)}{a^2 + ab + b^2}
\]
\[
= a – b
\]
\[
= 155 – 55
\]
\[
= 100
\]