Factorise:

$3 m^{2} + 24 m + 36$

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Solution

$3 m^{2} + 24 m + 36 = 3 {m^{2} + 8 m + 12} = 3 {m^{2} + 6 m + 2 m + 12} {\begin{matrix} ∵ 12 = 6 \times 2 8 = 6 + 2 \end{matrix}} = 3 {m (m + 6) + 2 (m + 6)} = 3 (m + 6) (m + 2)$

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3 m^{2} + 24 m + 36

Factorise:
$9 m^{2} + 24 m + 16$

Factorise:
$36 a^{2} + 36 a + 9$

49 x^{2} - 36

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