Verify:
${(3 x + 5 y)}^{2} - 30 x y = 9 x^{2} + 25 y^{2}$

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Solution

${(3 x + 5 y)}^{2} - 30 x y$
$= {9 x}^{2} + {25 y}^{2} + 30 x y - 30 x y$
$= {9 x}^{2} + {25 y}^{2}$ verified.

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