
计算:(x的2次方y+xy的2次方)÷(x+y) x的2次方+4y的2次方)的2次方—16x的2次方y的2次方
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(x²y+xy²)÷(x+y)
=xy(x+y)/(x+y)
=xy
(x²+4y²)²-16x²y²
=(x²+4xy+4y²)(x²-4xy+4y²)
=(x+2y)²(x-2y)²
81x²-4=0
x²=4/81
x=2/9或x=-2/9
(x-2)²=4x-8
(x-2)²-4(x-2)=0
(x-2)[(x-2)-4]=0
(x-2)(x-6)=0
x=2或x=6
=xy(x+y)/(x+y)
=xy
(x²+4y²)²-16x²y²
=(x²+4xy+4y²)(x²-4xy+4y²)
=(x+2y)²(x-2y)²
81x²-4=0
x²=4/81
x=2/9或x=-2/9
(x-2)²=4x-8
(x-2)²-4(x-2)=0
(x-2)[(x-2)-4]=0
(x-2)(x-6)=0
x=2或x=6
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