Simplify : \(\dfrac{173 \times 173 \times 173 + 127 \times 127 \times 127}{173 \times 173 – 173 \times 127 + 127 \times 127}\)
\[
\frac{173^3 + 127^3}{173^2 – 173 \times 127 + 127^2}
\]
\[
= \frac{a^3 + b^3}{a^2 – ab + b^2}
\]
\[
= \frac{(a + b)(a^2 – ab + b^2)}{a^2 – ab + b^2}
\]
\[
= a + b
\]
\[
= 173 + 127
\]
\[
= 300
\]