Question

Make perfect square: $t^2+\frac{7}{6}t+\frac{2}{6}$

Answer 1

$\begin{array}{c}{t}^2+\frac{7}{6}t+\frac{2}{6}\\ \Rightarrow t^2+2\times \frac{7}{12}\times t+{\left(\frac{7}{12}\right)}^2-{\left(\frac{7}{12}\right)}^2\\ \Rightarrow {\left(t+\frac{7}{12}\right)}^2-{\left(\frac{7}{12}\right)}^2\end{array}$