Multiply.

3/x-2 * x^2-4/12

1 answer

To multiply these two fractions, we first simplify each fraction individually and then multiply them together.

First fraction: 3 / (x - 2)
Second fraction: (x^2 - 4) / 12

Simplify the first fraction:
3 / (x - 2) can be written as 3 / (x - 2)

Simplify the second fraction:
(x^2 - 4) / 12 can be written as (x + 2)(x - 2) / 12

Now multiply the two fractions together:
3 / (x - 2) * (x + 2)(x - 2) / 12

When multiply the two fractions together, we get:
3(x + 2) / 12

Simplify this fraction:
(3x + 6) / 12

Therefore, the final result is (3x + 6) / 12.