Question

[b]Упростить[/b]
$frac{a^3+b^3}{(a+b)(a^2-b^2)}+frac{2b}{a+b}$

Answer 1

Решение

$frac{a^{3}+b^{3}}{(a+b)(a^{2}-b^{2})}+frac{2b}{a+b}$

$frac{(a+b)(a^{2}-ab+b^{2})}{(a+b)(a^{2}-b^{2})}+frac{2b}{a+b}$

$frac{a^{2}-ab+b^{2}}{a^{2}-b^{2}}+frac{2b}{a+b}$

$frac{a^{2}-ab+b^{2}}{(a-b)(a+b)}+frac{2b}{a+b}$

$frac{a^{2}-ab+b^{2}+2b*(a-b)}{(a-b)(a+b)}$

$frac{a^{2}-ab+b^{2}+2ab-2b^{2}}{a^{2}-b^{2}}$

Ответ

$frac{a^{2}+ab-b^{2}}{a^{2}-b^{2}}$