已知x=2+3,y=2-3,求下列各式的数; (1)x2-2xy+y2;(2)x2-y2
(1)x2-2xy+y2=(x-y)2;当x=2+3,y=2-3,原式=[(2+3)-(2-3)]2=36;(2)x2-y2=(x+y)(x-y);当x=2+3,y=2-3,原式=[(2+3)+(2-3)][(
已知x=5+3,y=5-3,求下列各式的值:(1)x2-2xy+y2(2)x2-y2
(1)∵x=5+3,y=5-3,∴x-y=6,∴x2-2xy+y2=(x-y)2=62=36;(2)∵x=5+3,y=5-3,∴x+y=25,x-y=6,∴x2-y2=(x+y)(x-y)=25×6=125.
已知x=2-3,y=2+3,求下列各式的值:(1)x+y;(2)x-y;(3)x?y
(1)x+y=(2-3)+(2+3)=2-3+2+3=22;(2)x-y=(2-3)-(2+3)=2-3-2-3=-6;(3)x?y=(2-3)(2+3)=2-9=-7.
已知:x=3+1,y=3-1,求下列各式的值.(1)x2+2xy+y2;(2)x2-y2
(1)当x=3+1,y=3-1时,原式=(x+y)2=(3+1+3-1)2=12;(2)当x=3+1,y=3-1时,原式=(x+y)(x-y)=(3+1+3-1)(
已知:x=2+√3,y=2-√3,先化简,再求值。[(x+y\/x-y)-(x-y\/x+y)]●[(
你好!解:[(x+y\/x-y)-(x-y\/x+y)]*[(1\/xx)-(1\/yy)]={[(x+y)^2-(x-y)^2]\/(x+y)(x-y)}*[(y^2-x^2)\/x^2y^2]=[(x^2+2xy+y^2-x^2+2xy-y^2)\/(x+y)(x-y)]*[(y-x)(y+x)\/(xy)^2]=[4xy\/(x+y)(x-y)]*[-(x+y)(x-y)\/(xy)^2]=-4\/...
已知x=2+根号3,y=2-根号3,求下列各式的值(1)(Y\/X)+(X\/Y);(2)(X^2...
x=2+根号3,y=2-根号3 xy=1, x+y=4 (1)(Y\/X)+(X\/Y);=(x^2+y^2)\/xy =[(x+y)^2-2xy]\/xy =(4^2-2*1)\/1 =14 (2)(X^2-XY+Y^2)\/(X+Y)=[(x+y)^2-3xy]\/(x+y)=(4^2-3*1)\/4 =13\/4 希望你能看懂,望采纳,赞同,谢谢!!
已知x=2+根号3,y=2-根号3,求(1)x的平方加上2xy加上y的平方等于多少,(2...
x+y=4 x-y=2√3 x²+2xy+y²=(x+y)²=16 x²-y²=(c+y)(x-y)=8√3
已知x+y=3,xy=2,求x 2 +y 2 、(x-y) 2 的值.
∵x+y=3, ∴(x+y) 2 =9, x 2 +2xy+y 2 =9. ∵xy=2, ∴x 2 +y 2 =9-4=5. (x-y) 2 =x 2 -2xy+y 2 =5-4=1.
已知x=3+1,y=3-1,求下列各式的值:(1)x2-y2; (2)x2+xy+y2
∵x=3+1,y=3-1,∴x+y=23,x-y=2,xy=(3+1)×(3-1)=2,(1)x2-y2; =(x+y)(x-y)=23×2=43.(2)x2+xy+y2.=(x+y)2-xy=(23)2-2=10.
已知x+y=4,xy=3,求下列各式的值: (1)(x-y) 2 ;(2)x 2 y+xy 2 .
(1)∵x+y=4,xy=3,∴(x-y) 2 =x 2 -2xy+y 2 =(x+y) 2 -4xy=16-12=4;(2)∵x+y=4,xy=3,∴x 2 y+xy 2 =xy(x+y)=12.