Question

Помогите решить, задание Выполните действия: 1) (a/m^2+ a^2/m^3)/(m^2/a^2+m/a) 2)x-y/x - 5y/x^2* x^2-xy/5y

Answer 1

I)(a/m²+a²/m³)/(m²/a²+m/a)=(a/m²/m²/a²+a²/m³/m²/a²+m/a/a/m²+m/a/a²/m³)=(a/m²÷a²/m²+a²/m³÷a²/m²+m/a÷m²/a+m/a÷m³/a²)=(a³/m⁴+a⁴/m⁵+m³/a²+m⁴/a³)=((a³a³m/m⁴ma³+a⁴a³/m⁵a³+m³m⁵a/a²am⁵+m⁴m⁵/a³m⁵)=(a⁶m/a³m⁵+ a⁷/a³m⁵+ am⁸/ /a³m⁵+m⁹/a³m⁵)=(a⁶m+a⁷+am⁸+m⁹)/a³m⁵
II)x-y/x - 5y/x²·x² - xy/5y=(5xy-5y²-25xy²-x²y)/5xy
1)5y/x²·x²=5yx²/x²=5y
2)(x-y)/x - 5y=(x-y)/x - 5yx/x=((x-y)-5xy)/x=(x-y-5xy)/x
3)(x-y-5xy)/x - xy/5y=5y(x-y-5xy)/x5y - xyx/x5y=(5xy-5y²-25xy²-x²y)/5xy