What is factor 6x^2+xy-y^2 ?

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

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factor 6x^2+xy-y^2

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

2 x

from

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

Factor out

y

from

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

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

Factor out common term

3 x - y

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

(1 - r)^{2}

(x^{2} y^{4})^{\frac{1}{2}}

(- 4 \frac{1}{5}) (- \frac{1}{3})

\frac{2}{8 + 5}

sin (x) cos (x) + cos (x) sin (x)