先化简,再求值:(x+3y)2-(x+3y)(x-3y),其中x=3,y=-2
原式=x2+6xy+9y2-x2+9y2=6xy+18y2,当x=3,y=-2时,原式=-36+72=36.
先化简,再求值:(x+3y)^2-(x+3y)(x-3y),其中x=3,y=-2.
=x²+6x+9y²-x²+9y²=18y²+6x 将x=3 y=-2代入 =18*4-18 =54
先化简再求值:(X十3y)2-(X十3y)(X-3y)其中X=3 y=-2
(X十3y)2-(X十3y)(X-3y)=(x+3y)(x+3y-x+3y)=6y(x+3y)当x=3,y=-2时 原式=6×(-2)×(3-6)=36
化简,求值:(x+3y)的平方+(x+3y)(x-3y)-2x(x-3y),其中x=3,y=-2?
原题可以化为(x+3y)^2-(x-3y)^2,再利用平方差公式得到=12xy,将x,y的值带入即可。最后等于-72
化简,求值:(x+3y)2+(x+3y)(x-3y)-2x(x-3y),其中x=3,y=-2
原式=x2+9y2+6xy+x2-9y2-2x2+6xy=12xy,当x=3,y=-2时,原式=12×3×(-2)=-72.
...x^2-9y^2\/x^2+6xy+9y^2 + 2y\/x+3y,其中x=2,y=-3
解:原式=(x-y)\/(x+3y)-(x²-9y²)\/(x²+6xy+9y²)+2y\/(x+3y)=(x-y)\/(x+3y)-[(x+3y)(x-3y)\/(x+3y)²]+2y\/(x+3y)=(x-y)\/(x+3y)-(x-3y)\/(x+3y)+2y\/(x+3y)=[(x-y)-(x-3y)+2y]\/(x+3y)=(x-y-x+3y+2y)\/(x+3y)=4y...
先化简,再求值:(x+2y) 2 -x(x+3y),其中x=3,y=-2.
原式=x 2 +4xy+4y 2 -x 2 -3xy=4y 2 -xy=22. 故答案为22.
化简求值:(x+3y) 2 +2(x+y)(x-y)-(x-2)(x+3),其中x=2,y=-3.
原式=(x+3y) 2 +2x 2 -2y 2 -x 2 -x+6=x 2 +9y 2 +6xy+2x 2 -2y 2 -x 2 -x+6=2x 2 +7y 2 +6xy-x+6当x=2,y=-3时,原式=2×2 2 +7×(-3) 2 +6×2×(-3)-2+6=8+63-36-2+6=39.
先化简,再求值:(x-3y)2+(-x-3y)(-x+3y),其中x=2,y=-1
其中x=2,y=-1解:原式=x2-6xy+9y2+x2-9y2=2x2-6xy当x=2,y=-1原式=2×22-6×2×(-1)=16.
先化简,再求值. (2x+3y) 2 -(2x+3y)(2x-3y),其中x=3,y=1.
原式=(2x+3y)(2x+3y-2x+3y)=6y(2x+3y),当x=3,y=1时,原式=6(6+3)=54.