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:
 $k^{2} /2$