\(\begin{array}{l}
a)\,\,\,{x^2} - 4x + 4 = {\left( {x - 2} \right)^2}.\\
b)\,\,25{y^2} + 15y = 5y\left( {5y + 3} \right).\\
c)\,\,{x^2} - 2xy + {y^2} - {z^2} + 2zt - {t^2}\\
= \left( {{x^2} - 2xy + {y^2}} \right) - \left( {{z^2} - 2zt + {t^2}} \right)\\
= {\left( {x - y} \right)^2} - {\left( {z - t} \right)^2}\\
= \left( {x - y - z + t} \right)\left( {x - y + z - t} \right).
\end{array}\)