X2+X-1=0则2X3+3X2-X=?X²+X-1=0则2X³+3X²-X=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/07 00:49:30
X2+X-1=0则2X3+3X2-X=?X²+X-1=0则2X³+3X²-X=?

X2+X-1=0则2X3+3X2-X=?X²+X-1=0则2X³+3X²-X=?
X2+X-1=0则2X3+3X2-X=?
X²+X-1=0则2X³+3X²-X=?

X2+X-1=0则2X3+3X2-X=?X²+X-1=0则2X³+3X²-X=?
因为X2+X-1=0
所以X2+X=1
而2X3+3X2-X=X(2X2+3X-1)
=X(2(X2+X)+X-1)
=X(2+X-1)
=X(X+1)
=X2+X
=1

X2+X-1=0则 x^2+x=1
2X3+3X2-X=x(2x^2+3X-1)
=x(2x^2+2X+X-1)
=X(x+1)
= x^2+x
=1

X²+X-1=0则2X³+3X²-X=?
X²+X-1=0
X²+X=1

2X³+3X²-X
= x(2X²+3X-1)
= x(2X²+2X+X-1)
= x[2(X²+X)+X-1)] 【X²+X=1代入】
= x(2+X-1)
= x(X+1)
= X²+X
=1