Question

因式分解2x³+x²+x-1

因式分解：x³-2x²+x
1、x³-2x²+x
2、3x²-11x+10
3、4-x²-4xy-4y²

Answer 1

1、x³-2x²+x
=x(x²-2x+1)
=x(x-1)²
2、3x²-11x+10
=3x²-6x-5x+10
=3x(x-2)-5(x-2)
=(x-2)(3x-5)
3、4-x²-4xy-4y²
=4-(x²+4xy+4y²)
=-[(x+2y)²-4]
=-(x+2y+2)(x+2y-2)