The given equation is,
[tex]4x^2-52x+169=121[/tex]Simplifying the above equation,
[tex]\begin{gathered} 4x^2-52x+169-121=0 \\ 4x^2-52x+48=0 \end{gathered}[/tex][tex]\begin{gathered} 4x^2-13\times4x+4\times12=0 \\ 4(x^2-13x+12)=0 \\ 4(x^2-12x-1x+12\times1)=0 \\ 4(x(x-12)-1(x-12))=0 \\ 4(x-12)(x-1)=0 \end{gathered}[/tex]Therefore, the factors of the given expression is 4(x-1)(x-12).
