Question

How do you factor completely `2x^2+50y^2-20xy`?

Answer 1

`2x^2+50y^2-20xy = 2(x-5y)^2`

Explanation:

Separate out the common scalar factor `2`, rearrange into stanard order and notice a perfect square trinomial...

`2x^2+50y^2-20xy`

`= 2(x^2-10xy+25y^2)`

`= 2(x^2-2(x)(5y)+(5y)^2)`

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