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

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

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factor x^2+xy-20y^2

factor

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

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

Solution steps

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

Break the expression into groups

= (x^{2} - 4 x y) + (5 x y - 20 y^{2})

Factor out

x

from

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

Factor out

5 y

from

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

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

Factor out common term

x - 4 y

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

5 x^{2} + 9 x = - 4

x^{2} - 7 x - 30

53 \cdot \frac{π}{180}

2 x^{2} y + 2 x z^{2} + y^{2} z^{2} + x y^{3}

x^{2} + 3 x + 9 = 0

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