分式约分a-b/a^2+ab乘a^2b^2-a^4/ab-a^2.x^2-3x/x^2-6x+9乘x^2-11x+30/x^2-5x16-x^2/x^2-2x-3÷x^2-5x+4/x-3

分式约分a-b/a^2+ab乘a^2b^2-a^4/ab-a^2.x^2-3x/x^2-6x+9乘x^2-11x+30/x^2-5x16-x^2/x^2-2x-3÷x^2-5x+4/x-3
分式约分a-b/a^2+ab乘a^2b^2-a^4/ab-a^2.x^2-3x/x^2-6x+9乘x^2-11x+30/x^2-5x
16-x^2/x^2-2x-3÷x^2-5x+4/x-3

分式约分a-b/a^2+ab乘a^2b^2-a^4/ab-a^2.x^2-3x/x^2-6x+9乘x^2-11x+30/x^2-5x16-x^2/x^2-2x-3÷x^2-5x+4/x-3
1、(a-b)/a(a+b) ×a²(a+b)(a-b)/[-a(a-b)]
=-(a-b)
=b-a
2、x(x-3)/(x-3)²×(x-5)(x-6)/x(x-5)
=(x-6)/(x-3)
3、-(x+4)(x-4)/(x-3)(x+1)×(x-3)/(x-1)(x-4)
=-(x+4)/(x+1)(x-1)
=(x+4)/(1-x²)