2025 AMC 8 Problems/Problem 1

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Let m and n be 2 integers such that m $>$ n. Suppose m + n = 20, $m^2$ + $n^2$ = 328, find $m^2$ - $n^2$.

$\textbf{(A)}\ 280 \qquad \textbf{(B)}\ 292 \qquad \textbf{(C)}\ 300 \qquad \textbf{(D)}\ 320 \qquad \textbf{(E)}\ 340$