Ответ:
Объяснение:
1.
а) x²/(x²-y²) ·(x-y)/x=x/((x-y)(x+y)) ·(x-y)=x/(x+y)
б) a/(3a+3b) ÷a²/(a²-b²)=a/(3(a+b)) ·((a-b)(a+b))/a²=(a-b)/(3a)
в) (-(2с³)/y)⁵=-32c¹⁵/y⁵
г) x/y² ·4xy=(4x²)/y
2.
(y/(y-x) -(y-x)/y) ·(y-x)/x=(y²-(y-x)²)/(y(y-x)) ·(y-x)/x=(y²-y²+2xy-x²)/(xy)=(-x(x-2y))/(xy)=-(x-2y)/y
3.
Упрощаю:
(2x-4)/(x²+12x+36) ÷(8x-16)/(x²-36)=(2(x-2))/(x+6)² ·((x-6)(x+6))/(8(x-2))=(x-6)/(4(x+6))=(x-6)/(4x+24)
При x=1,5:
(x-6)/(4(x+6))=(1,5-6)/(4(1,5+6))=-4,5/(4·7,5)=(-9/2)/(4·15/2)=-9/2 ·2·15=-9·15=-135