X的立方+3乘以X的平方-4

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X的立方+3乘以X的平方-4

X的立方+3乘以X的平方-4
X的立方+3乘以X的平方-4

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

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