Question

How do you factor the trinomial `y^2-7xy+10x^2`?

Answer 1

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

Explanation:

We can split the `7xy` to get:
`y^2-2xy-5xy+10x^2`

Then factor out to get:
`y(y-2x)-5x(y-2x)`

Now we take one set of brackets then also take the coefficients into another:
`(y-2x)(y-5x)`