CCSS.HSA.SSE.B.3.A.Q.FQ.6 - Factor quadratic 4p^{2} - 1using difference of squares

Sangeetha Pulapaka (last edited 1 year ago) (Expert, Educator @Qalaxia)

STEP 1: Recall on how to factor a quadratic

STEP 2: Recall what are difference of squares

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)