What is t squared minus 36 over 3 divided by t squared plus 6t over 9t

3t-18

Step-by-step explanation:

The first step is to multiply by the reciprocal of the denominator. The reciprocal of a fraction is its inverted fraction which will make it equal to 1.

This will eliminate the denominator,leaving the fraction like;

You can simplify 9 and 3;

9/3=3

3/3=1

Multiply;

We can factor both numerator and denominator. The common factor in the numerator is 3t. And, the common factor in the denominator is t.

Now we can simplify t and t.

and are both perfect squares with a negative (-) sign in the middle, in this case, we can extract both squares and multiply them by themselves being one positive and the other negative.

Since t + 6 and t - 7 are being multiplied, it is possible to simplify with the denominator. Leaving the fraction like;

Multiply;