因式分解x的7次方-y的7次方-搜答案-神马作文网

6xy³-9x²y²-y^4=-y²(-6xy+9x²+y²)=-y²[(3x)²+2×3x×(-y)+(-y)&sup

5m(x-y)²+10n(y-x)³=5m(x-y)²-10n(x-y)³=5(x-y)²[m-2n(x-y)]=5(x-y)²(m-2nx

7﹙x＋y﹚³－5﹙x＋y﹚²＋2﹙x＋y﹚＝x＋y﹚[7﹙x＋y﹚²－5﹙x＋y﹚＋2]∵5²－4×7×2＝﹣31＜0∴中括号内的多项式不能再分解了.

原式=xy(4x²+4xy+y²)=xy(2x+y)²

答：x的2次方+2xy+y的2次方+x+y-2=x²+2xy+y²+(x+y)-2=(x+y)²+(x+y)-2=(x+y-1)(x+y+2)

解原式=[(2x²+5y²)+(5x²+2y²)][(2x²+5y²)-(5x²+2y²)]=(7x²+7y&

x³-y³=x³-x²y+x²y-xy²+xy²-y³=x²(x-y)+xy(x-y)+y²(x-y

x^5-2x^3y^2+xy^4=x(x^4-2x^2y^2+y^4)=x(x^2-y^2)^2=x(x+y)^2(x-y)^2

(x-y)²+3(y-x)=(x-y)²-3(x-y)=(x-y)[(x-y)-3]=(x-y)(x-y-3)

=（x^4+y^4+2x^2y^2）*（x^4+y^4-2x^2y^2）(平方差公式)=（x^2+y^2）^2*（x^2-y^2）^2(完全平方公式)=（x^2+y^2）^2*（x+y）^2*(x-y

(x+y)的3次方-x-y=(x+y)的3次方-(x+y)=(x+y)[(x+y)的平方-1】=(x+y)(x+y+1)(x+y-1)

6（x-y)的3次方+15（y-x）的2次方-9（y-x)的3次方=6（x-y)的3次方+15（x-y）的2次方+9（x-y)的3次方=15（x-y)的3次方+15（x-y）的2次方=15(x-y)的

X的6次方-Y的6次方=(X的3次方+Y的3次方)(X的3次方-Y的3次方)=(X+Y)(X²-XY+Y²)(X-Y)(X²+XY+Y²)

(x2＋y2)(x+y)(x-y)

因式分解(x-y)的平方-(y-x)的3次方(x-y)的平方-(y-x)的3次方=(x-y)^2+(x-y)^3=(x-y)^2(x-y+1)

解答如下图:

x^2-7x+12=(x-3)(x-4)

6x的2次方-11x-7=(2x+1)(3x-7)-------------------------------运用十字相乘法：2x1\//\3x-7-------------------------

(x+y)的平方+2*4(x+y)+4的平方(x+y)=(x+y+4)的平方

(x+y)²-(9y)²=(x+y+3y)(x+y-3y)=(x=4y)(x-2y)(x+y)²-(9y)³=(x+y)²-(729y³)=