Question

Factor perfect square trinomials 4p^2 - 52p + 169

Answer 1

Given:

`4p^2-52p+169`

Find: Perfect Square.

Sol:.

`(a-b)^2=a^2+b^2-2ab`

`\begin{gathered} =a^2+b^2-2ab \\ =4p^2+169-52p \end{gathered}`

`\begin{gathered} a^2=4p^2 \\ a=2p \\ \text{And} \\ b^2=169 \\ b=13 \\ \text{And} \\ 2ab=2(2p)(13) \\ =52p \end{gathered}`

So perfect square is:

`(a-b)^2=(2p-13)^2`