x²-3xy-10y² x 9y-2

（3xy+10y)+[5x--(2xy+2y--3x)]=3xy+10y+5x--2xy--2y+3x=xy+8y+8x=xy+8(x+y)=--2+24=22.看来你在解题目时比较粗心,不知是那里搞

(3xy+10y)+5x-(2xy+2y-3x)=3xy+10y+5x-2xy-2y+3x=xy+8x+8y=-2+8(x+y)=-2+24=22

（3xy+10y)+[+5x-(2xy+2y-3x)]=3xy+10y+[+5x-2xy-2y+3x],[原式去括号]=3xy+10y+5x-2xy-2y+3x,[去括号]=3xy-2xy+5x+3x

3xy是3x原式=(x-3y)(x+2y)+3x+y+2十字相乘x-3y2×x+2y1所以原式=(x-3y+2)(x+2y+1)

[-(xy)/(x-y)^2]^4*[(x^2-xy)/x]^3*x^4/y^10÷[x/(xy-y^2)]^5=(x^4y^4)/(x-y)^8*(x-y)^3*x^4/y^10*[y^5(x-y)

解题思路：本题主要利用完全平方公式进行因式分解即可求出结果解题过程：解:x²－6xy＋9y²=(x-3y)2

3xy[2xy-x(y-2)+x-1]=3xy(2xy-xy+2x+x-1)=3xy(xy+3x-1)=3x^2y^2+9x^2y-3xy

3xy[2xy-x（y-2）+x]＝3xy[2xy-xy+2x+x]=3xy(xy+3x)=3x²y²+9x²y

(3xy+10y)+[5x-(2xy+2y-3x)]=3xy+10y+5x-2xy-2y+3x=3xy-2xy+10y-2y+5x+3x=(3xy-2xy)+(10y-2y)+(5x+3x)=xy+8

（5Xy+10y)+[5X-（3Xy+2Y-3x)]=5Y(X+2)+(5X-3XY-2Y+3X)=5YX+10Y+8X-3XY-2Y=2XY+8Y+8X=2*-2+8(x+y)=-4+24=20

(-3x^y+2xy)-(4x^+xy)=-3x^y+2xy-4x^-xy=-3x^y+xy-4x^所以填上-3x^y+xy-4x^

24(3xy+10y)+[4x-2(3xy+2y-x)]=3xy+10y+4x-6xy-4y+2x=6x+6y-3xy=6(x+y)-3xy=6*3-3*(-2)=18+6=24

解题思路：将原方程右边分解因式为（x-4y)(x+y)=0,可得x=4y或x=-y,进而可求出x与y的比值。解题过程：解：∵x2-3xy-4y2=0∴（x-4y)(x+y)=0∴x=4y或x=-y∵x

1、已知2x²+xy=10,3y²+2xy=6,求4x²+8xy+9y²的值为?分析：通过观察,可以把8xy拆成2xy+6xy,分别于剩余的两项组合,并提取公因

因为有2的x次方所以y为偶数9的y次方不能超过4位所以y=2或4y=4时x只能为0不可能y=2时2^x*9²=2000+100x+92因2^4*812000故x=5结论x=5,y=22^5*

(-2xy+2x+3y)-(3xy+2x-2y)-(x+4y-xy)=-2xy+2x+3y-3xy-2x+2y-x-4y+xy=-4xy-x+y=-4xy-(x-y)=-4×(-4)-10=6

题目的条件应该是2x9y=2^x*9^y吧?由于等号右边有9^y,左边一定9的倍数,因此x＋y＝7或x＋y＝16又等号右边有2^x,故左边是偶数,可知y必为偶数又因为9^4＝6561,故y＜4于是可知

因为：xy=(x-10)(y+1)→xy=xy+x-10y-10①xy=(x-15)(y+3)→xy=+3x-15y-45②由①、②得：x=10y+10③x=5y+15④将③‐­④得：10y+

原式=-x²y+2xy²+2x²y²-4xy³-3x³+27x³y-18x²y²+2x²y-18x&

[-(x-y)^2/xy]^-4*(y^2-xy/x)^3*(x^4/y^10)÷(xy-y^2/x)^-5=-y(y-x)^29^-x*27^y=3^-2x*3^3y=3^(-2x+3y)=3^(-