What is factor 3a^3-3a^2b+9ab^2-a^2+ab-3b^2 ?

The solution to factor 3a^3-3a^2b+9ab^2-a^2+ab-3b^2 is (a^2-ab+3b^2)(3a-1)

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factor 3a^3-3a^2b+9ab^2-a^2+ab-3b^2

factor

3 a^{3} - 3 a^{2} b + 9 a b^{2} - a^{2} + ab - 3 b^{2}

(a^{2} - ab + 3 b^{2}) (3 a - 1)

Solution steps

3 a^{3} - 3 a^{2} b + 9 a b^{2} - a^{2} + ab - 3 b^{2}

= (3 a^{3} - 3 a^{2} b + 9 a b^{2}) + (- a^{2} + ab - 3 b^{2})

Factor out

3 a

from

3 a^{3} - 3 a^{2} b + 9 a b^{2} : 3 a (a^{2} - ab + 3 b^{2})

Factor out

- 1

from

- a^{2} + ab - 3 b^{2} : - (a^{2} - ab + 3 b^{2})

= 3 a (a^{2} - ab + 3 b^{2}) - (a^{2} - ab + 3 b^{2})

Factor out common term

(a^{2} - ab + 3 b^{2}) : (a^{2} - ab + 3 b^{2}) (3 a - 1)

= (a^{2} - ab + 3 b^{2}) (3 a - 1)

c^{2} - 13 c - 14

\frac{4}{3} \times 3

- 5 x - 2

- 8 + 14

(7 x - 3) (7 x + 3)

What is factor 3a^3-3a^2b+9ab^2-a^2+ab-3b^2 ?
The solution to factor 3a^3-3a^2b+9ab^2-a^2+ab-3b^2 is (a^2-ab+3b^2)(3a-1)