Question

Solve:
$\frac{(964+578{)}^2+(964-578{)}^2}{964\times 964+578\times 578}$

Answer 1

$\frac{(964+578{)}^2+(964-578{)}^2}{964\times 968+578\times 578}$

$=\frac{(964{)}^2+(578{)}^2+2\left(964\right)\left(578\right)+(964{)}^2+(578{)}^2-2\left(964\right)\left(578\right)}{(964{)}^2+(578{)}^2}$

$=2\frac{\left[\right(964{)}^2+\left(578{)}^2\right]}{\left[\right(964{)}^2+\left(578{)}^2\right]}$

=2