x^4+2x^3+x^2+1+2(x+x^2)

来源：百度知道 编辑：UC知道 时间：2024/06/05 06:09:10
如题 因式分解

x^4+2x^3+x^2+1+2(x+x^2)
=x^2(x^2+2x+1)+2(x+x^2)
=x^2(x+1)^2+2x(1+x)
=(1+x)*x*【x^(x+1)+2】

楼上错了 下面是正解: (x^2 + x + 1)^2
y=x^4+2*x^3+x^2+1+2*(x+x^2);
>> simple(y)

simplify:

(x^2 + x + 1)^2

radsimp:

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

simplify(100):

(x^2 + x + 1)^2

combine(sincos):

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

combine(sinhcosh):

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

combine(ln):

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

factor:

(x^2 + x + 1)^2

expand:

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

combine:

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

rewrite(exp):

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

rewrite(sincos):

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

rewrite(sinhcosh):

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

rewrite(tan):

x^4 + 2*x