Adding a Rational expression. Could you help me?

You need to find a common denominator.

2t^2 - 8 = 2(t^2 - 4) = 2(t - 2)(t + 2)

So 3h^2 / (2(t - 2)(t + 2)) + h(2(t - 2)/ (2(t - 2)(t + 2))

(3h^2 + 2ht - 4h)/(2t^2 - 8)
 
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