10道因式分解1.-7m(m-n)^3+21mn(n-m)^22.5x(x-2y)^2-10y(2y-x)^23.225

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10道因式分解
1.-7m(m-n)^3+21mn(n-m)^2
2.5x(x-2y)^2-10y(2y-x)^2
3.225(x-y)^2-196(x+y)^2
4.(5x-3y)^2-(3x-5y)^2
5.(5m^2+8n^2)^2-(4m^2+n^2)^2
6.x^3+x^2y-xy^2-y^3
7.9m^2-15m+4分之25
8.(a^2-1)^2+6(1-a^2)+9
9.a^2-9b^2+6b-1
10.mn^2-2mn+2n-4

1.-7m(m-n)^3+21mn(n-m)^2
=-7m(m-n)^3+21mn(m-n)^2
=-7m(m-n)^2[(m-n)-3n]
=-7m(m-n)^2(m-4n)
2.5x(x-2y)^2-10y(2y-x)^2
=5x(x-2y)^2-10y(x-2y)^2
=5(x-2y)^3(x-2y)
3.225(x-y)^2-196(x+y)^2
=[15(x-y)]²-[14(x+y)^2
=[15(x-y)+14(x+y)][15(x-y)-14(x+y)]
=(15x-15y+14x+14y)(15x-15y-14x-14y)
=(29x-y)(x-29y)
4.(5x-3y)^2-(3x-5y)^2
=[(5x-3y)+(3x-5y)][(5x-3y)-(3x-5y)]
=(8x-8y)(2x+2y)
=16(x-y)(x+y)
5.(5m^2+8n^2)^2-(4m^2+n^2)^2
=(5m^2+8n^2+4m^2+n^2)(5m^2+8n^2-4m^2-4n^2)
=(9m^2+9n^2)(m^2+4n^2)
=9(m^2+n^2)(m^2+4n^2)
6.x^3+x^2y-xy^2-y^3
=(x^3+x^2y)-(xy^2+y^3)
=x^2(x+y)-y^2(x+y)
=(x+y)(x^2-y^2)
=(x+y)(x+y)(x-y)
=(x-y)(x+y)^2
7.9m^2-15m+4分之25
=(3m)^2-15m+(5/2)^2
=(3m-5/2)^2
8.(a^2-1)^2+6(1-a^2)+9
=(a^2-1)^2-6(a^2-1)+9
=(a^2-1-3)^2
=(a^2-4)^2
=(a+2)^2(a-2)^2
9.a^2-9b^2+6b-1
=a^2-(9b^2-6b+1)
=a^2-(3b-1)^2
=(a+3b-1)(a-3b+1)
10.mn^2-2mn+2n-4
=(mn^2-2mn)+(2n-4)
=mn(n-2)+2(n-2)
=(n-2)(mn+2)

10道因式分解1.-7m(m-n)^3+21mn(n-m)^22.5x(x-2y)^2-10y(2y-x)^23.225 把下列各式因式分解(2m+3n)(2m-n)-4n(2m-n)(x+y)^2(x-y)+(x+y)(y-x)^24a(x 1.(因式分解)m*m/9-mn/3+n*n/4.2.已知x*x+y*y-2x+1=0,求xy=________. 5m(x-y)的2次方+10n(y-x)的3次方因式分解因式分解:(1)x³y²-x (2)m²-2mn+n²-1 因式分解:(x-y)^2(m-n)+(x+y)^2(n-m) (x+y)(m+n)2-(x+y)(m+n)2 分解因式 (x+2y)²-x²-2xy -7m(m-n)³+21mn(n-m)² 因式分解m²+2m(m-n)+(m-n)²,16-8（x-y）+（x-y）² 因式分解mn（x^2+y^2）+xy（m^2+n^2）题：若关于x,y的多项式：x^(m-2)y^2+mn(m-2)y+nx^3y^(m-3)y+m+n化简后是四次三项式,求 1.因式分解(1) 1-4x²y²(2) 16m²+25n²+40mn(3) 2