
先化简,再求值(x+y)(x-y)+(x²-2xy+y²)-(x²y)³÷(x²y)²其中x=1,
先化简,再求值(x+y)(x-y)+(x²-2xy+y²)-(x²y)³÷(x²y)²其中x=1,y=2...
先化简,再求值(x+y)(x-y)+(x²-2xy+y²)-(x²y)³÷(x²y)²其中x=1,y=2
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(x+y)(2x-y)-(x+2y)(x-2y)=2x 2 -xy+2xy-y 2 -(x 2 -4y 2 )=2x 2 -xy+2xy-y 2 -x 2 +4y 2 =x 2 +xy+3y 2 ;把x=3,y=4代入得,原式=3 2 +3×4+3×4 2 =9+12+3×16=21+48=69.
2015-11-23
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y(x-y)-x(x+y)/x²-y² ÷ x²+y²/x+y
=xy-y²-x²-xy/x²-y²÷ x²+y²/x+y
=x²+y²/x²-y²×x+y/x²+y²
=x+y/x²-y²
=1/x-y
=1/3
=xy-y²-x²-xy/x²-y²÷ x²+y²/x+y
=x²+y²/x²-y²×x+y/x²+y²
=x+y/x²-y²
=1/x-y
=1/3
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