Question

分解因式：x的立方减3x的平方加4

Answer 1

x的立方减3x的平方加4
=x³-2x²-x²+4
=x²(x-2)-(x+2)(x-2)
=(x²-x-2)(x-2)
=(x-2)(x+1)(x-2)
=(x-2)²(x+1)

Answer 2

x³-3x²+4
=x³-3x²+3+1
=x³+1-3(x²-1)
=(x+1)(x²+1-x)-3(x+1)(x-1)
=(x+1)(x²+1-x-3x+3)
=(x+1)(x²-4x+4)
=(x+1)(x-2)²