<PRE><B>Question 267280</B>
25x^2 + 10x + 1
-----------------------
Notice that the 1st and the 3rd terms are perfect squares
---
The square roots are 5x and 1
----
The 2nd term is 2 times the product of those square roots: 2*5x*1 = 10x
--------------------------------------------
NOTE: A trinomial that meets those conditions is called
a Perfect trinomial square.
----
Factoring a perfect trinomial square:
[(squre rt. of 1st term) sign of the 2nd term (square rt. of the 3rd term)^2
Your Problem:
(5x+1)^2
or you can write it as (5x+1)(5x+1)
======================================
Cheers,
Stan H.
====================================== </PRE>