1.已知y=2x,求(2x+y/x^2-2xy+y^2)乘以(x-y)的值.2.计算题：a-2b+(4b^2/a+2b)+(4a^2b/a^2-4b^2)

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1.已知y=2x,求(2x+y/x^2-2xy+y^2)乘以(x-y)的值.2.计算题：a-2b+(4b^2/a+2b)+(4a^2b/a^2-4b^2)
1.已知y=2x,求(2x+y/x^2-2xy+y^2)乘以(x-y)的值.2.计算题：a-2b+(4b^2/a+2b)+(4a^2b/a^2-4b^2)

1.已知y=2x,求(2x+y/x^2-2xy+y^2)乘以(x-y)的值.2.计算题：a-2b+(4b^2/a+2b)+(4a^2b/a^2-4b^2)
(2x+y)/(x^2-2xy+y^2)*(x-y)
=(2x+y)/(x-y)^2*(x-y)
=(2x+2x)(x-2x)/(x-2x)^2
=4x(-x)/(-x)^2
=-4x^2/x^2
=-4
a-2b+4b^2/(a+2b)+4a^2b/(a^2-4b^2)
=[(a-2b)(a+2b)+4b^2]/(a+2b)+4a^2b/[(a-2b)(a+2b)]
=(a^2-4b^2+4b^2)/(a+2b)+4a^2b/[(a-2b)(a+2b)]
=a^2/(a+2b)+4a^2b/[(a-2b)(a+2b)]
=[a^2(a-2b)+4a^2b]/[(a-2b)(a+2b)]
=[a^3-2a^2b+4a^2b]/[(a-2b)(a+2b)]
=(a^3+2a^2b)/[(a-2b)(a+2b)]
=[a^2(a+2b)]/[(a-2b)(a+2b)]
=a^2/(a-2b)
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