x的3次方+3x平方-4分解因式

2025-02-22 22:45:01
推荐回答(5个)
回答1:

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

回答2:

x^3+3x^2-4
=(x^3+2x^2)+(x^2-4)
=x^2(x+2)+(x+2)(x-2)
=(x+2)(x^2+x-2)
=(x+2)(x+2)(x-1)
=(x+2)^2(x-1)

回答3:

原式=x^3-x^2+4x^2-4
=x^2(x-1)+4(x-1)(x+1)
=(x-1)(x+2)^2

回答4:

x^3+3x^2-4
=(x-1)(x^2+4x+4)
=(x-1)(x+2)^2

回答5:

(x-1)(x+2)~2