What is factor 20w^3-5w^2-8w+2 ?

The solution to factor 20w^3-5w^2-8w+2 is (4w-1)(5w^2-2)

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factor 20w^3-5w^2-8w+2

factor

20 w^{3} - 5 w^{2} - 8 w + 2

(4 w - 1) (5 w^{2} - 2)

Solution steps

20 w^{3} - 5 w^{2} - 8 w + 2

= (20 w^{3} - 5 w^{2}) + (- 8 w + 2)

Factor out

5 w^{2}

from

20 w^{3} - 5 w^{2} : 5 w^{2} (4 w - 1)

Factor out

- 2

from

- 8 w + 2 : - 2 (4 w - 1)

= 5 w^{2} (4 w - 1) - 2 (4 w - 1)

Factor out common term

4 w - 1

= (4 w - 1) (5 w^{2} - 2)

(a x)^{2}

5 x^{2} + 10

(2 x + 1) \cdot (2 x - 1) - (x + 4)^{2}

- 45 \div 5

What is factor 20w^3-5w^2-8w+2 ?
The solution to factor 20w^3-5w^2-8w+2 is (4w-1)(5w^2-2)