58.8k views
1 vote
Perform the following operation and express in simplest form. (x-2)/(3x+15)*(x²-1)/(x²-x-2)

User Eladtopaz
by
7.7k points

1 Answer

3 votes

Final answer:

To perform this operation, multiply the two fractions together and simplify the resulting fraction.

Step-by-step explanation:

To perform the given operation, you need to multiply the two fractions together.

You can do this by multiplying the numerators (x-2)*(x²-1) and the denominators (3x+15)*(x²-x-2).

Then, simplify the resulting fraction if possible.

For example:

  • Numerator: (x-2)*(x²-1) = x³-3x²+2x+2
  • Denominator: (3x+15)*(x²-x-2) = 3x³-3x²-6x-30
  • Result: (x³-3x²+2x+2)/(3x³-3x²-6x-30)
User Suhas Mucherla
by
8.4k points