\[7(a + b)^{2} - 14ab =\]
\[= 7\left( a^{2} + 2ab + b^{2} \right) - 14ab =\]
\[= 7a^{2} + 14ab + 7b^{2} - 14ab =\]
\[= 7a^{2} + 7b^{2}.\]