How do you simplify this:

(t - 3)/(t + 2) ÷ (4t - 12)/(t + 1)

(t - 3)/(t + 2) ÷ (4t - 12)/(t + 1)

= (t - 3)/(t + 2) x (t + 1)/4(t - 3) {multiplied by reciprocal and factored 4 out of 4t - 12}

(t - 3)(t + 1)

--------------- {wrote as one fraction to help visualize it}

4(t + 2)(t - 3)

**t + 1**

---------{cancelled t - 3 on top and bottom}

---------

**4(t + 2)**

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