已知:x²-y²=4xy,求(x的四次方+y的四次方)除以(xy)²
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已知:x²-y²=4xy,求(x的四次方+y的四次方)除以(xy)²
已知:x²-y²=4xy,求(x的四次方+y的四次方)除以(xy)²
已知:x²-y²=4xy,求(x的四次方+y的四次方)除以(xy)²
x^4+y^4=(x^2-y^2)^2+2x^2y^2
(x^4+y^4)/(x^2y^2)=((x^2-y^2)^2+2x^2y^2)/(x^2y^2)
=((4xy)^2+2x^2y^2)/(x^2y^2)
=(16x^2y^2+2x^2y^2)/(x^2y^2)
=18
(x的四次方+y的四次方)除以(xy)²
=[(x²-y²)²+2x²y²]/x²y²
=(16x²y²+2x²y²)/x²y²
=18