分式的乘除法运算(1)a^2-4b^2/a^2-ab×a-b/a^2-2ab(2)x+3/x^2-1÷x^2-9/(x-3)(x+1)

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分式的乘除法运算(1)a^2-4b^2/a^2-ab×a-b/a^2-2ab(2)x+3/x^2-1÷x^2-9/(x-3)(x+1)

分式的乘除法运算(1)a^2-4b^2/a^2-ab×a-b/a^2-2ab(2)x+3/x^2-1÷x^2-9/(x-3)(x+1)
分式的乘除法运算
(1)a^2-4b^2/a^2-ab×a-b/a^2-2ab
(2)x+3/x^2-1÷x^2-9/(x-3)(x+1)

分式的乘除法运算(1)a^2-4b^2/a^2-ab×a-b/a^2-2ab(2)x+3/x^2-1÷x^2-9/(x-3)(x+1)
[(a^2-4b^2)/(a^2-ab)][*(a-b)/(a^2-2ab)]
=[(a-2b)(a+2b)(a-b)]/[a^2(a-b)(a-2b)]
=(a+2b)/a^2
[(x+3)/(x^2-1)]/[(x-3)(x+3)/(x-3)(x+1)]
=[(x+3)(x+1)]/[(x-1)(x+1)(x+3)]
=1/(x-1)