Solve: $(4 m + 5 n)^{2} + (5 m + 4 n)^{2}$

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Solution

$(4 m + 5 n)^{2} + (5 m + 4 n)^{2}$
$16 m^{2} + 40 m n + 25 n^{2} + 25 m^{2} + 40 m n + 16 n^{2}$
$41 m^{2} + 80 m n + 41 n^{2}$

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(4 m + 5 n)^{2} + (5 m + 4 n)^{2}

(4 m + 5 n)^{2} + (5 m + 4 n)^{2}

Simplify:
$(4 m + 5 n)^{2} + (5 m + 4 n)^{2}$

(4 m + 5 n)^{2} + (5 m + 4 n)^{2}

{(4 m + 5 n)}^{2} - {(4 m - 5 n)}^{2}

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