Answer:
(5s - 2t)(3s - 2t)
Step-by-step explanation:
There is no equal sign, so this is not an equation, and there is nothing to solve.
If you were asked to factor the trinomial, then this is how you do it.
Find 2 factors of 15s^2.
Here are the pairs of factors of 15s:
15s, s
5s, 3s
Now find two factors of 4t^2. Notice that 4t^2 is +4t^2 (positive 4), but the middle term is -16st (negative 16). The factors must multiply to a positive number, but since the middle term is negative, you need 2 negative factors.
The pairs of factors of 4t^2 are:
-4t, -t
-2t, -2t
Now we try combinations of the factors in two binomials until we find the correct factorization.
First attempt: (5s - 2t)(3s - 2t)
FOIL it: 15s^2 -10st - 6st + 4t^2 = 15s^2 - 16st + 4t^2
Since after multiplying our guessed factors, we get the original trinomial, our first attempt is correct.
Answer: (5s - 2t)(3s - 2t)
