Question

Perform the indicated operation. Be sure the answer is reduced.

A) k/2

B) k^2/2

C) 2k^2

The equation that needs to be solved is in the picture a, b and c are the possible answers

Answer 1

The answer is:
`k^(2) /2`
The explanation is shown below:
1. You have the following expression given in the exercise above:

`( 4k^(2)) /(2k+3)(2 k^(2) -5k-12)/(8k-32)`
2. By applying the distributive property, you obtain:

`(8k^(4)-20k^(3)-48k)/(16k^(2) -40k-96)`
3. Now, you must factor
`k^(2)` in the numerator and
`2` in the denominator:

`k^(2)(8 k^(2) -20k-48)/2(8 k^(2) -20k-48)`
4. Simplify:

`k^(2) /2`