I need to show that the right side equals the left side but I am having a little trouble simplifying.

Question

k(2k+1) +(4(k+1)-1) = (k+1)(2(k+1)+1)

k^2+2k+3 For the right side?

Answer 1

LS = k(2k+1) +(4(k+1)-1)
= 2k^2 + k + 4k + 4 - 1
= 2k^2 + 5k + 3

RS = (k+1)(2(k+1)+1)
= (k+1)(2k+2+1)
= (k+1)(2k+3)
= 2k^2 + 5k + 3

mmmhh?

Answer 2

Thank you!