Question

Find the factors of 3m² + 9m + 6.​

Answer 1

Solution:-

★ We notice that 3 is a common factor of all the terms.

Therefore,

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

Now,

$\sf{m^2 + 3m +2 = m^2 + m + 2m + 2}$

$\boxed{\sf{\orange{(as 2 = 1\times 2)}}}$

⠀⠀⠀⠀⠀⠀⠀ ⠀$\sf{= m(m + 1)+ 2(m + 1)}$

⠀⠀⠀⠀⠀⠀⠀⠀ $\sf{= (m + 1) (m + 2)}$

Therefore,

$\sf{3m^2 + 9m + 6 = 3(m + 1) (m + 2)}$

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Answer 2

Step-by-step explanation:

Answe

r 3m?+9m+6

3m2+3m+6m+6

3m(m+1)+6(m+1) (m+1)(3m+6)

3(m+1)(m+2)

Hope this helps