Question

(c - 3){2} - (c - 2) * (c + 2)

Answer 1

$2c - 6 {c}^{2} - 9 - {c}^{2} + 2c - 2c - 4$

Answer 2

To simplify the given expression, let's start by expanding the terms:

(c - 3){2} expands to (c - 3) * (c - 3) = c^2 - 6c + 9

(c - 2) * (c + 2) expands to c^2 - 2c + 2c - 4 = c^2 - 4

Now, the original expression becomes:

(c^2 - 6c + 9) - (c^2 - 4)

Next, distribute the negative sign to the terms inside the parentheses:

c^2 - 6c + 9 - c^2 + 4

Now, simplify the expression by combining like terms:

(c^2 - c^2) + (-6c) + (9 + 4)

The c^2 terms cancel each other out, so we are left with:

-6c + 13

So the simplified expression is:

-6c + 13