Answer
(a) $∑(X+1)$
(b) $∑(X+1)^2$
(c) $(∑X)^2-3$
Work Step by Step
(a) Let $X$ represent any score. So, after adding $1$ point to any score we have $X+1$. Now, make the sum of the results $X+1$:
$∑(X+1)$
(b) Let $X$ represent any score. So, after adding $1$ point to any score we have $X+1$. Then square this result $(X+1)^2$. Now, make the sum of the results: $(X+1)^2$:
$∑(X+1)^2$
(c) Let $X$ represent any score. Make the sum of all the scores: $∑X$. Now, square this result: $(∑X)^2$. Subtract 3 points:
$(∑X)^2-3$