Question

сократите дробь а^3-б^3/а^4-б^4

Answer 1

$\frac{a^3-b^3}{a^4-b^4}= \frac{(a-b)(a^2+ab+b^2)}{(a^2-b^2)(a^2+b^2)}= \frac{(a-b)(a^2+ab+b^2)}{(a-b)(a+b)(a^2+b^2)}= \frac{a^2+ab+b^2}{(a+b)(a^2+b^2)}$