Question

x的四次方＋2x的三次方＋ 2x 的二次方＋2x＋1 怎么样因式分解

Answer 1

X^4+2X^3+2X^2+2X+1
=X^4+2X^3+X^2+X^2+2X+1
=(X^4+2X^3+X^2)+(X^2+2X+1)
=X^2(X^2+2X+1)+(X^2+2X+1)
=X^2(X+1)^2 + (X+1)^2
=(X+1)^2 (X^2+1)
第一步把尘禅2X^2分扒胡成春兄拦X^2+X^2