x立方-2x平方+4x+7 因式分解

问题描述:

x立方-2x平方+4x+7 因式分解

解原式=(x^3+x^2)-(3x^2-3x)+7x+7
=x^2(x+1)-3x(x+1)+7(x+1)
=(x+1)(x^2-3x+7)

答:
x立方-2x平方+4x+7
=x^3-2x^2+4x+7
=(x^3+1)-2(x^2-2x-3)
=(x+1)(x^2-x+1)-2(x+1)(x-3)
=(x+1)(x^2-x+1-2x+6)
=(x+1)(x^2-3x+7)