Question

Evaluate:
$\frac{8.73\times 8.73\times 8.73+4.27\times 4.27\times 4.27}{8.73\times 8.73-8.73\times 4.27+4.27\times 4.27}$

Answer 1

$\frac{{\left(8.73\right)}^3+{\left(4.27\right)}^2}{{\left(8.73\right)}^2-(8.73\times 4.27)+{\left(4.27\right)}^3}$

$\Rightarrow \frac{(8.73+4.27)({8.73}^2-8.73\times 4.27+{4.27}^2)}{({8.73}^2-8.73\times 4.27+{4.27}^2)}$

$\Rightarrow (8.73+4.27)$

$\Rightarrow 13$