You can put this solution on YOUR website! the denominator is (2t-7)^2
the numerator is (2t-7)(t^2)-(t^2+2)(2). That is 2t^3-7t^2-2t^2-4
{2t^3-9t^2-4)}/(2t-7)^2
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This can be done with the product rule, but it may be more difficult
write as (t^2+2)(2t=7)^(-1)