Factorize:
$25 m^{2} + 30 m + 9$

(5 m + 6)^{2}

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(5 m + 2)^{2}

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(5 m + 1)^{2}

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(5 m + 3)^{2}

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Solution

The correct option is D $(5 m + 3)^{2}$
$25 m^{2} + 30 m + 9$
$= (5 m)^{2} + 2 \times 5 m \times 3 + 3^{2}$
$= (5 m + 3)^{2}$

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