a除以(a-b)=2,求(a²+ab)(a-5b)除以(a-b)(a²-5ab)

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a除以(a-b)=2,求(a²+ab)(a-5b)除以(a-b)(a²-5ab)
a除以(a-b)=2,求(a²+ab)(a-5b)除以(a-b)(a²-5ab)

a除以(a-b)=2,求(a²+ab)(a-5b)除以(a-b)(a²-5ab)
a/(a-b)=2得
a=2a-2b 则a=2b
所以(a²+ab)(a-5b)/(a-b)(a²-5ab)
=(4b²+2b²)(2b-5b)/(2b-b)(4b²-10b²)
=6b²(-3b)/(b)(-6b²)
=-18b³/(-6b³)
=3

a/(a-b)=2 a=2b
(a²+ab)(a-5b)除以(a-b)(a²-5ab)=(4b^2+2b^2)(2b-5b)除以(2b-b)(4b²-10b^2)
=(-24b^3)/(-6b^3)=3

a=2b 代入得 3

(a²+ab)(a-5b)=a*(a+b)(a-5b)
(a-b)(a²-5ab)=a(a-b)(a-5b)
上下去掉同类项,(a+b)/(a-b)=2a/(a-b)-1=4-1=3