Question

Which of the following is equal to the rational expression when x does not equal -3 x^2-9/x+3

Answer 1

Answer:

x - 3

Step-by-step explanation:

Given

$\frac{x^2-9}{x+3}$

Note that x² - 9 is a difference of squares and factors as

x² - 9 = (x + 3)(x - 3), thus

$\frac{(x+3)(x-3)}{x+3}$

Cancel the x+ 3 factor on the numerator/ denominator leaving

x - 3 ← in simplified form