Factorise $25 m^{2} + 30 m + 9$

(m + 3) (5 m + 2)

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(m - 3) (5 m + 2)

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(5 m - 3)^{2}

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(5 m + 3)^{2}

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Solution

The correct option is D $(5 m + 3)^{2}$
$25 m^{2} + 30 m + 9$
$= (5 m)^{2} + 2 \times 5 m \times 3 + (3)^{2}$
$= (5 m + 3)^{2}$ [Using : $a^{2} + 2 a b + b^{2} = (a + b)^{2}]$

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