Im trying to finish an assignment, but learning this section is online is a little difficult, can someone help me? The first question asks me to simplify [(t^2+6t)/(t-1)]-[(7)/(t-1)] and I've simplified it to [(t(t+6))/(t-1)]+[(-7)/(t-1)] but I dont know what to do here. I have common denominators and I think I can cancel t out from the left left side problem from the top and bottom but Im not sure. Help please?

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\[\frac{ t^2+6t }{ t-1 }-\frac{7}{t-1}=\frac{ t^2+6t - 7}{ t-1 }=\frac{(t-1)(t+6)}{t-1}=t+6\]

why dont i factor t out?

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