Factoring using a perfect square trinomial when a is not 1

The video tutorial explains the process of factoring trinomials, focusing on identifying perfect square trinomials. It begins by discussing why certain techniques, like the difference of squares, are not applicable. The instructor then guides through the steps to break down the expression, ensuring the factors meet specific conditions. The process is verified by checking the inner terms, confirming the factorization as a perfect square trinomial.

How do the inner terms contribute to the overall expression?

What is the factored form of the expression as concluded in the text?