What is factor 20r^3+8r^2+15r+6 ?

The solution to factor 20r^3+8r^2+15r+6 is (5r+2)(4r^2+3)

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factor 20r^3+8r^2+15r+6

factor

20 r^{3} + 8 r^{2} + 15 r + 6

(5 r + 2) (4 r^{2} + 3)

Solution steps

20 r^{3} + 8 r^{2} + 15 r + 6

= (20 r^{3} + 8 r^{2}) + (15 r + 6)

Factor out

4 r^{2}

from

20 r^{3} + 8 r^{2} : 4 r^{2} (5 r + 2)

Factor out

3

from

15 r + 6 : 3 (5 r + 2)

= 4 r^{2} (5 r + 2) + 3 (5 r + 2)

Factor out common term

5 r + 2

= (5 r + 2) (4 r^{2} + 3)

- 3 (2 x - 5) = 10 x + 6

6 (\frac{2}{3} x + \frac{1}{3}) + 8 (\frac{1}{4} x - \frac{3}{4}) = 5 x + 4

2 (\frac{x + 5}{3}) = x + 3

12 z - 6 + 15 z = 27 z - 5

m (m + n) - 3 m (m + n)^{2}

What is factor 20r^3+8r^2+15r+6 ?
The solution to factor 20r^3+8r^2+15r+6 is (5r+2)(4r^2+3)