I need to factor the expression
t^2 + 4tv + 4v^2
I got this answer:
(t + 2v)(t + 2v)
Check my work? Thanks!
looks good to me
Thanks
To check if the expression t^2 + 4tv + 4v^2 can be factored as (t + 2v)(t + 2v), we can expand the factorization and see if it matches the original expression.
Expanding (t + 2v)(t + 2v) using the FOIL method:
(t + 2v)(t + 2v) = t * t + t * 2v + 2v * t + 2v * 2v
= t^2 + 2tv + 2tv + 4v^2
= t^2 + 4tv + 4v^2
As we can see, the expanded form of (t + 2v)(t + 2v) matches the original expression t^2 + 4tv + 4v^2. Therefore, your work is correct! The expression can indeed be factored as (t + 2v)(t + 2v).