计算:(x+y)^2×(-x-y)^3×[-3/4(x-y)^3]×5/6(y-x)^2

来源：学生作业帮助网编辑：作业帮时间：2024/04/28 01:50:32

计算:(x+y)^2×(-x-y)^3×[-3/4(x-y)^3]×5/6(y-x)^2
计算:(x+y)^2×(-x-y)^3×[-3/4(x-y)^3]×5/6(y-x)^2

计算:(x+y)^2×(-x-y)^3×[-3/4(x-y)^3]×5/6(y-x)^2
答：
(x+y)^2×(-x-y)^3×[-3/4(x-y)^3]×5/6(y-x)^2
=[(x+y)^2]×[-(x+y)^3]×(-3/4)×[(x-y)^3]×(5/6)×(x-y)^2
=-1×(-3/4)×(5/6)×[(x+y)^(2+3)]×[(x-y)^(3+2)]
=(5/8)×[(x+y)^5]×[(x-y)^5]
=(5/8)×[(x+y)(x-y)]^5
=(5/8)×(x^2-y^2)^5

(x+y)²(-x-y)³×[-3/4(x-y)³]×5/6(y-x)²
=(x+y)²[-(x+y)³]×[-3/4(x-y)³]×5/6(x-y)²
=[(-1)×(-3/4)×5/6][(x+y)^(2+3)][(x-y)^(3+2)]
=5/8(x+y)^5(x-y)^5如果....计算...

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(x+y)²(-x-y)³×[-3/4(x-y)³]×5/6(y-x)²
=(x+y)²[-(x+y)³]×[-3/4(x-y)³]×5/6(x-y)²
=[(-1)×(-3/4)×5/6][(x+y)^(2+3)][(x-y)^(3+2)]
=5/8(x+y)^5(x-y)^5

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