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
{log(2,1)(x²+2x-10≥log(2,1)(x+2)
{|x|<7
1)
{x+2>0⇒x>-2
{x²+2x-10>0 D=4+40=42 x1<(-2-√42)/2 U x2>(-2+√42)/2
{x²+2x-10≥x+2⇒x²+x-12≥0 x1+x2=-1 U x1*x2=-12 x1≤-4 U x2≥3
x≥3
2)
-7<x<7
x∈[3;7)
2x²-12x-59<-3x²-5x-25
2x²+3x²-12x+5x-59+25<0
5x²-7x-24<0
D=49+480=529
x=(7+-23)/10
x1=(7+23)/10=30/10=3
x2=(7-23)/10=-16/10=-1,6
Ответ: (-1,6:3)