What is factor 3x^2-10xy+3y^2 ?

The solution to factor 3x^2-10xy+3y^2 is (3x-y)(x-3y)

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factor 3x^2-10xy+3y^2

factor

3 x^{2} - 10 x y + 3 y^{2}

(3 x - y) (x - 3 y)

Solution steps

3 x^{2} - 10 x y + 3 y^{2}

Break the expression into groups

= (3 x^{2} - x y) + (- 9 x y + 3 y^{2})

Factor out

x

from

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

Factor out

- 3 y

from

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

= x (3 x - y) - 3 y (3 x - y)

Factor out common term

3 x - y

= (3 x - y) (x - 3 y)

x^{3} - 9 y^{3} + (x + y)^{3}

12 x^{3} - 5 x^{2} + 1

5 y + 2 - 3 y

(x - y)^{3} - (x + y)^{3}

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

What is factor 3x^2-10xy+3y^2 ?
The solution to factor 3x^2-10xy+3y^2 is (3x-y)(x-3y)