What is factor 6m^2+23m+21 ?

The solution to factor 6m^2+23m+21 is (2m+3)(3m+7)

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factor 6m^2+23m+21

factor

6 m^{2} + 23 m + 21

(2 m + 3) (3 m + 7)

Solution steps

6 m^{2} + 23 m + 21

Break the expression into groups

= (6 m^{2} + 9 m) + (14 m + 21)

Factor out

3 m

from

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

Factor out

7

from

14 m + 21 : 7 (2 m + 3)

= 3 m (2 m + 3) + 7 (2 m + 3)

Factor out common term

2 m + 3

= (2 m + 3) (3 m + 7)

\frac{2 ^{2}}{5 ^{- 2}}

2 (- 1.25)^{2} + 5 (- 1.25) + 1

\frac{x ^{2} + 8 x + 15}{x ^{2} - 3 x - 18}

\frac{256}{15}

2 x^{3} 180 + x^{2} 45 x^{2}