Answer
$x^{2}$ - 3x - 7
Work Step by Step
STEP 1: First, write down the equation.
($x^{2}$ - 2) - (3x + 5)
STEP 2: In order to remove the parentheses, we need to distribute the negative sign to the second binomial. Since both terms, 3x and 5, in the second binomial are positive, distributing will make them both negative, -3x and -5.
$x^{2}$ - 2 - 3x - 5
STEP 3: Then, group like terms together. The terms -2 and -5 both have a degree of 0, so they are the only like terms in this problem.
$x^{2}$ - 3x - 2 - 5
STEP 4: Combine the like terms together to simplify.
$x^{2}$ - 3x - 7