Given:
[tex]4p^2-52p+169[/tex]Find: Perfect Square.
Sol:.
[tex](a-b)^2=a^2+b^2-2ab[/tex][tex]\begin{gathered} =a^2+b^2-2ab \\ =4p^2+169-52p \end{gathered}[/tex][tex]\begin{gathered} a^2=4p^2 \\ a=2p \\ \text{And} \\ b^2=169 \\ b=13 \\ \text{And} \\ 2ab=2(2p)(13) \\ =52p \end{gathered}[/tex]So perfect square is:
[tex](a-b)^2=(2p-13)^2[/tex]
