Sangeetha Pulapaka
0

STEP 1: Recall on how to factor a quadratic

https://www.qalaxia.com/viewDiscussion?messageId=5d12dcb07ae99744ef6d34ec

STEP 2: Recall what are difference of squares

https://www.khanacademy.org/math/algebra/polynomial-factorization/factoring-quadratics-diff-of-squares/v/difference-of-squares-intro

STEP 3: Factor the quadratic 4p^{2} - 1

Using the difference of squares formula  (a-b)^{2} = (a-b)(a+b)

We write the above quadratic as (2p)^{2}- (!)^{2}

which is (2p-1)(2p+1)