Factorise:
3m² + 24m + 36

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Solution

$T h e g i v e n e x p r e s s i o n i s 3 m^{2} + 24 m + 36 . Find two numbers that follow the conditions given below : S u m = 24 P r o d u c t = 36 \times 3 = 108 C l e a r l y, t h e n u m b e r s a r e 18 a n d 6 . 3 m^{2} + 24 m + 36 = 3 m^{2} + 18 m + 6 m + 36 = 3 m (m + 6) + 6 (m + 6) = (3 m + 6) (m + 6) = 3 (m + 2) (m + 6)$

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