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)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 17:28:08
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)
x){tOY-Ovx9sɳS_|{: L35I31OOM44++NDXVG;Z#Zfh- )P#X-PQF6*Տ3!rP% w@mh% M0WaUB8`aC}~qAb(l

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)