What is factor 2m^2+21m+10 ?

The solution to factor 2m^2+21m+10 is (2m+1)(m+10)

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factor 2m^2+21m+10

factor

2 m^{2} + 21 m + 10

(2 m + 1) (m + 10)

Solution steps

2 m^{2} + 21 m + 10

Break the expression into groups

= (2 m^{2} + m) + (20 m + 10)

Factor out

m

from

2 m^{2} + m : m (2 m + 1)

Factor out

10

from

20 m + 10 : 10 (2 m + 1)

= m (2 m + 1) + 10 (2 m + 1)

Factor out common term

2 m + 1

= (2 m + 1) (m + 10)

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