What is factor 3m^2+11mn+6n^2 ?

The solution to factor 3m^2+11mn+6n^2 is (3m+2n)(m+3n)

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factor 3m^2+11mn+6n^2

factor

3 m^{2} + 11 mn + 6 n^{2}

(3 m + 2 n) (m + 3 n)

Solution steps

3 m^{2} + 11 mn + 6 n^{2}

Break the expression into groups

= (3 m^{2} + 2 mn) + (9 mn + 6 n^{2})

Factor out

m

from

3 m^{2} + 2 mn : m (3 m + 2 n)

Factor out

3 n

from

9 mn + 6 n^{2} : 3 n (3 m + 2 n)

= m (3 m + 2 n) + 3 n (3 m + 2 n)

Factor out common term

3 m + 2 n

= (3 m + 2 n) (m + 3 n)

\frac{5}{2} \cdot \frac{1}{4}

9 x^{2} - 42 x + 49

x^{2} + 5 = 4

- \frac{13}{3} \cdot (- \frac{7}{3} + \frac{10}{3})

\frac{x - 4}{2 x + 1} < 5

What is factor 3m^2+11mn+6n^2 ?
The solution to factor 3m^2+11mn+6n^2 is (3m+2n)(m+3n)