Simplify the following:
(k-1)^2+2 k-1+k+1
Grouping like terms, (k-1)^2+2 k-1+k+1 = (2 k+k)+(k-1)^2+(1-1):
(2 k+k)+(k-1)^2+(1-1)
2 k+k = 3 k:
3 k+(k-1)^2+(1-1)
1-1 = 0:
3 k+(k-1)^2
(k-1) (k-1) = (k) (k) + (k) (-1) + (-1) (k) + (-1) (-1) = k^2-k-k+1 = k^2-2 k+1:
k^2-2 k+1+3 k
Grouping like terms, k^2+3 k-2 k+1 = k^2+(3 k-2 k)+1:
k^2+(3 k-2 k)+1
3 k-2 k = k:
Answer: | k^2+k+1
