分解成因式:1.x^3-5x^2y-24xy^2 2.-2m^2+7m-3

问题描述:

分解成因式:1.x^3-5x^2y-24xy^2 2.-2m^2+7m-3
分解成因式:1.x^3-5x^2y-24xy^2
2.-2m^2+7m-3
3 9x^4-82x+9
4 1/5x^2-3x+10
5 x^3-x^2-y^3+y^2
6 x^2-6xy+9y^2-3x+9y

1.x^3-5x^2y-24xy^2
=x*(x²-5xy-24y²)
=x(x-8)(x+3)
2.-2m^2+7m-3
= -(2m²-7m+3)
= -(2m-1)(m-3)
3 9x^4-82x+9
=(9x^2-1)(x^-9)
=(3x+1)(3x-1)(x+3)(x-3)
4 1/5x^2-3x+10
=1/5x^2-3x+10
=(1/5)*(x^2-15x+50)
=(1/5)(x-5)(x-10)
5 x^3-x^2-y^3+y^2
=x^3-y^3-(x²-y²)=(x-y)(x²+xy+y²)-(x-y)(x+y)
=(x-y)(x²+xy+y²-x-y)
6 x^2-6xy+9y^2-3x+9y
=(x-3y)² -3(x-3y)
=(x-3y)(x-3y-3)