solidworks螺杆转动:x^4+2x^3+3x^2+2x+1

来源:百度文库 编辑:高校问答 时间:2024/03/29 23:09:53

原式x^4+2x^3+3x^2+2x+1

=x^4+2x^2+1+2x^3+x^2+2x

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

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

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

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

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

x^4+2x^3+3x^2+2x+1

=x^4+2x^3+x^2+2x^2+2x+1

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

=x^2*(x+1)^2+2x(x+1)+1

=[x(x+1)+1]^2

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

原式=(X^4+2X^3+X^2)+2X(X+1)+1
=[X(X+1)]^2+2X(X+1)+1
=[X(X+1)+1]^2