Упрости выражения \frac{5x^2+10x+5}{x^3-27}\cdot \frac{4x^2+12x+36}{15x+15}= \frac{x^2-49y^2}{25x^2-9y^2}\colon \frac{x^2+14xy+49y^2}{25x^2-30xy+9y^2}= \frac{(x^n-4y^n)^2+16x^ny^n}{x^2-y^2}\colon \frac{x^{2n}-16y^{2n}}{x+y}=

Задание

Упрости выражения

\(\frac{5x^2+10x+5}{x^3-27}\cdot \frac{4x^2+12x+36}{15x+15}=\)
[ \(\frac {4(x+1)}{3(x-3)}\) | \(\frac {4x^2+12x+36}{3(x^3-27)}\) | \(\frac {4(5x^2+10x+5)}{15x+15}\) ]
\(\frac{x^2-49y^2}{25x^2-9y^2}\colon \frac{x^2+14xy+49y^2}{25x^2-30xy+9y^2}=\)
[ \(-1\) | \(\frac {5x^2-38xy+21y^2}{5x^2+38xy+21y^2}\) | \(1\) ]
\(\frac{(x^n-4y^n)^2+16x^ny^n}{x^2-y^2}\colon \frac{x^{2n}-16y^{2n}}{x+y}=\)
[ \(\frac {x^n+4y^n}{(x-y)(x^n-4y^n}\) | \((x^n+4y^n)^2\) | \(\frac {1}{x-y}\) ]