若x+y=10,xy=15,求(x^2-y^2)^2的值?
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若x+y=10,xy=15,求(x^2-y^2)^2的值?若x+y=10,xy=15,求(x^2-y^2)^2的值?若x+y=10,xy=15,求(x^2-y^2)^2的值?(x+y)^2=100(x
若x+y=10,xy=15,求(x^2-y^2)^2的值?
若x+y=10,xy=15,求(x^2-y^2)^2的值?
若x+y=10,xy=15,求(x^2-y^2)^2的值?
(x+y)^2=100
(x-y)^2=(x+y)^2-4xy=100-60=40
(x^2-y^2)^2
=(x-y)^2*(x+y)^2
=40*100
=4000
40√10
(x+y)^2=x^2+2xy+y^2=100
因为xy=15,所以x^2+y^2=70
(x-y)^2=x^2-2xy+y^2=40
(x^2-y^2)^2=(x+y)^2(x-y)^2=4000
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