分解因式x-y的3次方减去4乘x-y的平方 4乘以x-y-搜答案-拍题作业网

7x^2-63=7(x^2-9)=7(x+3)(x-3)4x^2-16=4(x^2-4)=4(x+2)(x-2)(2x+1)^2-x^2=4x^2+4x+1-x^2=3x^2+4x+1=(3x+1)(

答：-x³y+2x²y-xy=-xy(x²-2x+1)=-xy(x-1)²

原式=-y(4x²-4xy+y²)=-y(2x-y)²

X（X+2)(X-2)

3x³-6x²y+3xy²=3x(x²-2xy+y²)=3x(x-y)²

=(x+2y)(x-2y)(x-2y)

6xy^2-9x^2y-y^3=-y(-6xy+9x^2+y^2)=-y(9x^2-6xy+y^2)=-y(3x-y)^2

x³+3x²-4=x³-x²+4x²-4=x²(x-1)+4(x²-1)=x²(x-1)+4(x+1)(x-1)=x&s

原式＝(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)

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,

原式=x^4-2x^2+1-x^2=(x^2-1)^2-x^2=(x^2-1-x)(x^2-1+x)=(x^2+x-1)(x^2-x-1)

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

X的4次方-3x平方+2=(x²-1）(x²-2）=（x-1)(x+1)(x-√2）(x+√2)

(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

a³(x+y)²-4a³c²=a³[(x+y)²-4c²]=a³[(x+y)²-(2c)²]=a&s

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

原式=(x+3y)²-2(x+3y)(4x-3y)+(4x-3y)²=[(x+3y)-(4x-3y)]²=(-3x+6y)²=9(x-2y)²

(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)