Thank you for the opportunity to help you with your question! I assume that you need to simplify the indicated expression. If not, let me know.
The least common multiple of s and t is LCM(s,t) = s*t. Multiplying both the (BIG) numerator and denominator by LCM(s,t) yields the following:
[t * t - s * s] / [s - t] = [t^2 - s^2] / [s - t] = [s - t] * [s + t] / [s - t] = s + t.
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