Answer
$\frac{h^{2}+h+1}{2t^{2}-7}$
Work Step by Step
Given : $\frac{h^{2}+1}{2t^{2}-7} + \frac{h}{2t^{2}-7}$
This becomes : $\frac{h^{2}+1+h}{2t^{2}-7}$
(Since they both have the same denominator)
$= \frac{h^{2}+h+1}{2t^{2}-7}$
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