将X的3次方减5乘X的2次方加5X减4分解因式?

问题描述:

将X的3次方减5乘X的2次方加5X减4分解因式?

傣族服饰

(x^3-5)(x-4)(x-1)

=(x-4)(x²-x+1)

x^3-5x^2+5x-4
=x^3-4X^2-X^2+4X+x-4
=x^2(x-4)-x(x-4)+(x-4)
=(x-4)(x^2-x+1)

x³-5x²+5x-4
=x³-4x²-x²+5x-4
=x²(x-4)-(x²-5x+4)
=x²(x-4)-(x-4)(x-1)
=(x-4)(x²-x+1)