What is factor 3x^3+9xy^2-3x^2y+xy-x^2-3y^2 ?

The solution to factor 3x^3+9xy^2-3x^2y+xy-x^2-3y^2 is (x^2-xy+3y^2)(3x-1)

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factor 3x^3+9xy^2-3x^2y+xy-x^2-3y^2

factor

3 x^{3} + 9 x y^{2} - 3 x^{2} y + x y - x^{2} - 3 y^{2}

(x^{2} - x y + 3 y^{2}) (3 x - 1)

Solution steps

3 x^{3} + 9 x y^{2} - 3 x^{2} y + x y - x^{2} - 3 y^{2}

= (3 x^{3} - 3 x^{2} y + 9 x y^{2}) + (- x^{2} + x y - 3 y^{2})

Factor out

3 x

from

3 x^{3} - 3 x^{2} y + 9 x y^{2} : 3 x (x^{2} - x y + 3 y^{2})

Factor out

- 1

from

- x^{2} + x y - 3 y^{2} : - (x^{2} - x y + 3 y^{2})

= 3 x (x^{2} - x y + 3 y^{2}) - (x^{2} - x y + 3 y^{2})

Factor out common term

(x^{2} - x y + 3 y^{2}) : (x^{2} - x y + 3 y^{2}) (3 x - 1)

= (x^{2} - x y + 3 y^{2}) (3 x - 1)

3 x + 1 < 10

0. 8^{2}

- 5.85363 \cdot x^{(2)} + 148.924 \cdot x - 721.773

4 X^{2} - 16 X + 8 = 0

\frac{1}{5 ( 0 ) ^{\frac{4}{5}}}

What is factor 3x^3+9xy^2-3x^2y+xy-x^2-3y^2 ?
The solution to factor 3x^3+9xy^2-3x^2y+xy-x^2-3y^2 is (x^2-xy+3y^2)(3x-1)