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\frac{81a^{2}+196p^{2}-252ap}{36}
Factor out \frac{1}{36}.
\left(-14p+9a\right)^{2}
Consider 81a^{2}+196p^{2}-252ap. Use the perfect square formula, m^{2}+2mn+n^{2}=\left(m+n\right)^{2}, where m=-14p and n=9a.
\frac{\left(-14p+9a\right)^{2}}{36}
Rewrite the complete factored expression.