How do you factor the trinomial #15r^2+2rs-s^2#?
1 Answer
May 2, 2017
(3r+1)(5r-1)
Explanation:
This is a simple application of factoring.
15 can be factored into 3 and 5 (the combination of 1 and 15 is very unlikely), and we see that 5-3=2, so that is good.
The equation has a
We already know what a and c might be, so let's plug them in: (3r+bs) (5r+ds)
In order to get 2rs, we have +5-3. So b=1, d=-1
And we get
So the answer is: (3r+1)(5r-1)