初一因式分解数道1.4m^2-x^2-9-6x2.y^4-4y^3-4y^2-13.a^2+2a+6b-9b^24.m^3-nm^2-mn^2+n^35.m^2 nx -my -5m^2 -mn^2 x +ny +5n^2
问题描述:
初一因式分解数道
1.4m^2-x^2-9-6x
2.y^4-4y^3-4y^2-1
3.a^2+2a+6b-9b^2
4.m^3-nm^2-mn^2+n^3
5.m^2 nx -my -5m^2 -mn^2 x +ny +5n^2
答
1.4m^2-x^2-9-6x=(2m)²-(x+3)²=(2m-x-3)(2m+x+3)
2.y^4-4y^3-4y^2-1=y^4-1-4y²(y+1)= (y²+1)(y²-1)-4y²(y+1)=(y²+1)(y-1)(y+1)-4y²(y+1)=【(y²+1)(y-1)-4y²】(y+1)
3.a^2+2a+6b-9b^2=a²-9b²+2a+6b=(a-3b)(a+3b)+2(a+3b)=(a+3b)(a-3b+2)
4.m^3-nm^2-mn^2+n^3=m³+n³-mn(n+m)= (m+n)(m²-mn+n²)-mn(m+n)=(m+n)(m²-mn+n²-mn)=(m+n)(m-n)²
5.m^2 nx -my -5m^2 -mn^2 x +ny +5n^2=m²nx-mn²x-my+ny-5m²+5n²=mnx(m-n)-y(m-n)-5(m+n)(m-n)=(m-n)(mnx-y-5m-5n)