Subtract $3 c + 7 d^{2}$ from $5 c - d^{2}$

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Solution

We need to subtract $3 c + 7 d^{2}$ from $5 c - d^{2}$
Thus we have $5 c - d^{2} - (3 c + 7 d^{2})$
$= 5 c - d^{2} - 3 c - 7 d^{2}$
$= 2 c - 8 d^{2}$
$= 2 (c - 4 d^{2})$

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