What is factor 2x^3-18x-x^2y+9y ?

The solution to factor 2x^3-18x-x^2y+9y is (x+3)(x-3)(2x-y)

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factor 2x^3-18x-x^2y+9y

factor

2 x^{3} - 18 x - x^{2} y + 9 y

(x + 3) (x - 3) (2 x - y)

Solution steps

2 x^{3} - 18 x - x^{2} y + 9 y

= (2 x^{3} - 18 x) + (9 y - x^{2} y)

Factor out

2 x

from

2 x^{3} - 18 x : 2 x (x^{2} - 9)

Factor out

y

from

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

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

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

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

Factor out common term

x^{2} - 9

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

Factor

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

= (x + 3) (x - 3) (2 x - y)

\frac{1}{- \frac{12}{13}}

\frac{4}{7} (x - 5) = 12

(9)^{- \frac{3}{2}}

16 x^{2} - 40 x + 25 = 0

\frac{3}{8} + \frac{3}{8}

What is factor 2x^3-18x-x^2y+9y ?
The solution to factor 2x^3-18x-x^2y+9y is (x+3)(x-3)(2x-y)