What is factor x^2-7xy+10y^2 ?

The solution to factor x^2-7xy+10y^2 is (x-2y)(x-5y)

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factor x^2-7xy+10y^2

factor

x^{2} - 7 x y + 10 y^{2}

(x - 2 y) (x - 5 y)

Solution steps

x^{2} - 7 x y + 10 y^{2}

Break the expression into groups

= (x^{2} - 2 x y) + (- 5 x y + 10 y^{2})

Factor out

x

from

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

Factor out

- 5 y

from

- 5 x y + 10 y^{2} : - 5 y (x - 2 y)

= x (x - 2 y) - 5 y (x - 2 y)

Factor out common term

x - 2 y

= (x - 2 y) (x - 5 y)

- \frac{10 ( 2 ) + 3}{( 5 ( 2 ) ^{2} + 3 ( 2 ) ) ^{2}}

∣ x - 4 ∣ = 7

x^{2} + (6 - x)^{2} = 20

2 x^{3} - 72 x

6 x = 9 + x^{2}

What is factor x^2-7xy+10y^2 ?
The solution to factor x^2-7xy+10y^2 is (x-2y)(x-5y)