分解因式,3 x的m次方y的n 2次方 x的m-1次方y的n 1次方-搜答案-搜狗做题网

=七分之一x的m-1次方y的m+1次方（21xy+1）说明：把第二项作为公因式提取即可再问：打错了，这才是题目：多项式3x的m次方y的n+2次方+七分之一x的m-1次方y的n+1次方分解因式的结果是多

x^3-xyz+x^2y-x^2z=x^2(x+y)-xz(y+x)=x(x-z)(x+y)

3（x-y）-2（x-y）²＝﹙x－y﹚﹙3－2x＋3y﹚.

答：-x³y+2x²y-xy=-xy(x²-2x+1)=-xy(x-1)²

原式=-y(4x²-4xy+y²)=-y(2x-y)²

1）18m（m-n)的平方-12（n-m)的平方=6(m-n)²2）x的m＋3次方y－x的m＋2次方y平方＋x的m＋1次方y3次=x的m+1次方y（x²-xy+y²）再问

x^6-y^6-2x³+1=x^6-2x³+1-y^6=(x^6-2x³+1)-y^6=(x³-1)²-(y³)²=(x³

3x的4次方+x的平方y-2y的平方=(x²+y)(3x²-2y)很高兴为您解答,【the1900】团队为您答题.请点击下面的【选为满意回答】按钮,再问：有过程吗，如果是一步的话有

12m(x+y)的3次方-9n(x+y)的平方=3（x+y）²（4mx+4my-3n）如果本题有什么不明白可以追问,

x^(m+3)-x^(m+1)=x^(m+1)×(x^2-1)=x^(m+1)×(x+1)(x-1)

答：x的3次方-x的2次方y-3x+3y=x³-x²y-3x+3y=(x-y)x²-3(x-y)=(x-y)(x²-3)=(x-y)(x-√3)(x+√3)

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

(1)m^2n^2-3mn+2=(mn-1)(mn-2)(2)3x^4+x^2y-2y^2=(3x^2-2y)(x^2+y)

公因式是mn(x-y)^n所以原式=mn(x-y)^n(n-m)两项中m最低是1次,n最低原式1次而x-y是n和n+1次,则最低是n次所以公因式是mn(x原式=mn(x-y)^n*(-m)mn(x-y

(x-y)的3次方-2a(y-x)的平方=(x-y)的3次方-2a(x-y)的平方=(x-y)的平方*(x-y-2a)再问：只能分解到这了吗

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

[(x-y)x]6+[(y-x)y]6=(x-y)6x6+(y-x)6y6=(x-y)6(x6+y6)=(x-y)6[(x2)3+(y2)3]=(x-y)6(x2+y2)(x4-x2y2+y4)欢迎来

1.化简：原式=4（x+1)^2-7(x^2-1)+3(x-1)^2=4（x+1)^2-7(x^2-1)+3(x^2-1)=4（x+1)^2-4(x^2-1)=4x^2+8x+4-4x^2+4=8x+

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

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