Let's simplify the given expression step by step:
(c + 2)c - (c + 3)(c - 3)
First, distribute c to both terms inside the first set of parentheses:= c^2 + 2c - (c + 3)(c - 3)
Next, distribute the terms inside the second set of parentheses:= c^2 + 2c - (c^2 - 3c + 3c - 9)
Now, simplify the expression further by combining like terms:= c^2 + 2c - c^2 + 3c - 3c + 9
Finally, simplify the expression by combining like terms:= 2c + 9
Therefore, (c + 2)c - (c + 3)(c - 3) simplifies to 2c + 9.
Let's simplify the given expression step by step:
(c + 2)c - (c + 3)(c - 3)
First, distribute c to both terms inside the first set of parentheses:
= c^2 + 2c - (c + 3)(c - 3)
Next, distribute the terms inside the second set of parentheses:
= c^2 + 2c - (c^2 - 3c + 3c - 9)
Now, simplify the expression further by combining like terms:
= c^2 + 2c - c^2 + 3c - 3c + 9
Finally, simplify the expression by combining like terms:
= 2c + 9
Therefore, (c + 2)c - (c + 3)(c - 3) simplifies to 2c + 9.