Question

How do you factor the trinomial `x^2+8xy+12^2`?

Answer 1

f(x) = (x + 2y)(x + 6y)

Explanation:

Consider x as a variable and y as a constant.
`f(x) = x^2 + 8yx + 12y^2`.
Find 2 numbers knowing sum (b = 8y) and product `(c = 12y^2)`
They are (2y) and (6y) --> sum (8y) and product `(12y^2).`
`f(x) = (x + 2y)(x + 6y)`