How to simplify (x^2+1)^2+2(x^2+1)+1 ?

2 Answers
Feb 1, 2017

See below.

Explanation:

y^2+2y+1=(y+1)^2 so

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

Feb 1, 2017

(x^2+2)^2.

Explanation:

Let f(x)=(x^2+1)^2+2(x^2+1)+1, and, (x^2+1)=y

:. f(x)=y^2+2y+1=(y+1)^2

rArr f(x)={(x^2+1)+1}^2=(x^2+2)^2.