What is factor 8w^3+12w^2+10w+15 ?

The solution to factor 8w^3+12w^2+10w+15 is (2w+3)(4w^2+5)

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factor 8w^3+12w^2+10w+15

factor

8 w^{3} + 12 w^{2} + 10 w + 15

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

Solution steps

8 w^{3} + 12 w^{2} + 10 w + 15

= (8 w^{3} + 12 w^{2}) + (10 w + 15)

Factor out

4 w^{2}

from

8 w^{3} + 12 w^{2} : 4 w^{2} (2 w + 3)

Factor out

5

from

10 w + 15 : 5 (2 w + 3)

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

Factor out common term

2 w + 3

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

5 x^{2} + 19 x + 12

9 x y^{2} \cdot 3 x^{5} y^{2}

16 x^{2} + 24 x + 10

2 x^{2} + 2 x + 2 = 0

2 y^{2} + 17 y + 45 = (y + 7)^{2}

What is factor 8w^3+12w^2+10w+15 ?
The solution to factor 8w^3+12w^2+10w+15 is (2w+3)(4w^2+5)