Perform the indicated operation.

3k+6 / (k-2) + (2-k) = answers::: 3, - 3,3k+6/k-2,3k+6/k+2

3 is the correct option.

Step-by-step explanation:

The given expression is:

3k+6 / (k-2) + (2-k)

Break the numerators:

3k / (k-2) + 6 / (2-k)

Now Re-arrange the term (2-k) in the denominator as (-k+2)

3k / (k-2) + 6 / (-k+2)

Now takeout - 1 as a common factor from (-k+2)

3k / (k-2) + 6/-1 (k-2)

Now move a negative (-1) from the denominator of 6/-1 (k-2) to the numerator

3k / (k-2) + - 1*6 / (k-2)

Now take the L. C. M of the denominator which is k-2 and solve the numerator

3k - 6 / (k-2)

Take 3 as a common factor from the numerator:

3 (k-2) / (k-2)

k-2 will be cancelled out by each other:

Thus the answer will be 3.

The correct option is 3 ...