Factorize: ${3 m}^{2} + 9 m + 6$

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Solution

${3 m}^{2} + 9 m + 6$ = ${3 m}^{2} + (6 + 3) m + (6 \times 3)$

Using identity:

$(x + a) (x + b) = x^{2} + (a + b) x + (a \times b)$

Thus, ${3 m}^{2} + 9 m + 6$ = $(3 m + 6) (3 m + 3)$

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3 m^{2} + 9 m + 6

Which of the following is/are the irreducible factor(s) of $3 m^{2} + 9 m + 6 ?$

3 m^{2} + 9 m + 6

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