Expand and simplify:
$(4 x y - 9)^{2}$

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Solution

$\begin{matrix} Using (a - b)^{2} = a^{2} - 2 a b + b^{2} (4 x y - 9)^{2} = 16 x^{2} y^{2} - 2 \cdot 4 x y \cdot 9 + 81 = 16 x^{2} y^{2} - 72 x y + 81 \end{matrix}$

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