Simplifying a short equation?

Question

Does (x(x+1)/2) + 1 simplify to (x^2 + x + 2)/2?

I thought it was (x^2 + x + 1)/2 but the solutions guide has the first answer?

Answer 1

(x(x+1)/2) + 1

= (x^2 + x)/2 + 1

= (x^2 + x + 2)/2 => That is right

Find LCM that is 2

now, multiply 1 by 2 => so it's 2 not 1

Hope this help u :)

Answer 2

(x^2x)/2+x/2+1=(x^2)/2+x+1

Answer 3

YES.

the answer is the same coz when you simplify the first you get

(x^2+x)/2 +1  and if you make the whole thing out of 2, you get the second so your answer is right

Answer 4

yes, because the addition of the ones work together, and those ones would add together to make two in your equation.  

Answer 5

I got what you got. Maybe it was a typo.

Answer 6

first answer is correct

(x(x+1)/2) + 1= (x^2 + x)/2 + 1

and then they just moved the 1 inside by multipling it by 2 so

(x^2 + x)/2 + 1= (x^2 + x + 2)/2