What is factor x^4-x^2y-6y^2 ?

The solution to factor x^4-x^2y-6y^2 is (x^2+2y)(x^2-3y)

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factor x^4-x^2y-6y^2

factor

x^{4} - x^{2} y - 6 y^{2}

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

Solution steps

x^{4} - x^{2} y - 6 y^{2}

Break the expression into groups

= (x^{4} + 2 x^{2} y) + (- 3 x^{2} y - 6 y^{2})

Factor out

x^{2}

from

x^{4} + 2 x^{2} y : x^{2} (x^{2} + 2 y)

Factor out

- 3 y

from

- 3 x^{2} y - 6 y^{2} : - 3 y (x^{2} + 2 y)

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

Factor out common term

x^{2} + 2 y

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

4 x^{2} + 20 x + 24 = 0

x - \frac{7 x + 11}{24} = \frac{2 x - 1}{3}

3 w^{2} + 10 w + 8

4 x^{2} - 9 = 0

6 x^{3} + 9 x^{2} + 3 x

What is factor x^4-x^2y-6y^2 ?
The solution to factor x^4-x^2y-6y^2 is (x^2+2y)(x^2-3y)