What is factor 2m^2+13m+20 ?

The solution to factor 2m^2+13m+20 is (2m+5)(m+4)

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factor 2m^2+13m+20

factor

2 m^{2} + 13 m + 20

(2 m + 5) (m + 4)

Solution steps

2 m^{2} + 13 m + 20

Break the expression into groups

= (2 m^{2} + 5 m) + (8 m + 20)

Factor out

m

from

2 m^{2} + 5 m : m (2 m + 5)

Factor out

4

from

8 m + 20 : 4 (2 m + 5)

= m (2 m + 5) + 4 (2 m + 5)

Factor out common term

2 m + 5

= (2 m + 5) (m + 4)

20 a^{2} b^{4}

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