To solve this problem, we have to substitute in the value of -6 for each x in the expression. This is shown below:
(x² - 3)/(x+3) = ((-6)² - 3)/((-6) + 3)
To simplify this seemingly daunting expression, we should first simplify the exponents in the numerator. This is because of the order of operations, outlined by PEMDAS, which states that we should compute numbers in parentheses first, exponents next, then multiplication and division, and finally addition and subtraction.
((-6)² - 3)/((-6) + 3) = (36-3)/(-6+3)
Now, we can perform the addition and subtraction in the numerator and denominator because they are both in parentheses.
(36-3)/(-6+3) = 33/-3
Finally, we can perform the last operation of division.
-11
Therefore, your answer is -11.
Hope this helps!
