Answer:
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....
