What is factor a^2b^2+5abm+6m^2 ?

The solution to factor a^2b^2+5abm+6m^2 is (ab+2m)(ab+3m)

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factor a^2b^2+5abm+6m^2

factor

a^{2} b^{2} + 5 abm + 6 m^{2}

(ab + 2 m) (ab + 3 m)

Solution steps

a^{2} b^{2} + 5 abm + 6 m^{2}

Rewrite

a^{2} b^{2}

(ab)^{2}

= (ab)^{2} + 5 abm + 6 m^{2}

Break the expression into groups

= ((ab)^{2} + 2 abm) + (3 abm + 6 m^{2})

Factor out

ab

from

(ab)^{2} + 2 abm : ab (2 m + ab)

Factor out

3 m

from

3 abm + 6 m^{2} : 3 m (2 m + ab)

= ab (2 m + ab) + 3 m (2 m + ab)

Factor out common term

ab + 2 m

= (ab + 2 m) (ab + 3 m)

2 b^{\frac{1}{2}} (3 b^{\frac{1}{2}} c^{\frac{1}{3}})^{2}

x^{3} + 3 x^{2} - 13 x - 15

6 y + 2 = - y + 16

\frac{x + 1}{3} = 3

k^{4} - 36

What is factor a^2b^2+5abm+6m^2 ?
The solution to factor a^2b^2+5abm+6m^2 is (ab+2m)(ab+3m)