What is factor x^2-9xy+20y^2 ?

The solution to factor x^2-9xy+20y^2 is (x-4y)(x-5y)

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factor x^2-9xy+20y^2

factor

x^{2} - 9 x y + 20 y^{2}

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

Solution steps

x^{2} - 9 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} - 35 x + 60

- 2 m + 5 = - 2 m - 5

∣ 5 x + 10 ∣ \leq 0

∣ x - 5 ∣ x < - 5

\frac{x}{x}

What is factor x^2-9xy+20y^2 ?
The solution to factor x^2-9xy+20y^2 is (x-4y)(x-5y)