因式分解:X的三次方-X的平方-X+1

问题描述:

因式分解:X的三次方-X的平方-X+1

(x-1)(x+1)

(x+1)(x-1))(x-1)

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

(x--1)(x-1)(x+1)

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

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

X³-X²-X+1
=(X³-X²)-(X-1)
=X(X²-1)-(X-1)
=X(X-1)(X+1)-(X-1)
=(X-1)(X²+X-1)

=x(X的平方-1)-(X的平方-1)
=(x-1)(x-1)(x+1)

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