What is factor 12x^2+xy-20y^2 ?

The solution to factor 12x^2+xy-20y^2 is (4x-5y)(3x+4y)

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factor 12x^2+xy-20y^2

factor

12 x^{2} + x y - 20 y^{2}

(4 x - 5 y) (3 x + 4 y)

Solution steps

12 x^{2} + x y - 20 y^{2}

Break the expression into groups

= (12 x^{2} - 15 x y) + (16 x y - 20 y^{2})

Factor out

3 x

from

12 x^{2} - 15 x y : 3 x (4 x - 5 y)

Factor out

4 y

from

16 x y - 20 y^{2} : 4 y (4 x - 5 y)

= 3 x (4 x - 5 y) + 4 y (4 x - 5 y)

Factor out common term

4 x - 5 y

= (4 x - 5 y) (3 x + 4 y)

1 - x^{3} y^{3}

6 (x + 2 y)^{3} + 8 (x + 2 y)^{2}

16 a^{4} \cdot x^{3} + 54 a \cdot y^{3}

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

y^{3} + 3 y^{2} - 6 y - 8

What is factor 12x^2+xy-20y^2 ?
The solution to factor 12x^2+xy-20y^2 is (4x-5y)(3x+4y)