Question

Solve the expression: (n+3) * (n-3) / (8-3)^2

A) n^2 - 3n - 9
B) n^2 + 3n - 9
C) n^2 - 6n - 9
D) n^2 + 6n - 9

Answer 1

Upon simplifying the given expression (n+3) * (n-3) / (8-3)², it simplifies to (n² - 9) / 25. None of the provided options match this result, which suggests an error in the options given for the question.

Step-by-step explanation:

The student is asked to solve the expression: (n+3) * (n-3) / (8-3)². Let's simplify the given expression step by step.

• First, we simplify the denominator: (8-3)² = 5² = 25.
• Next, we apply the difference of squares formula to the numerator: (n+3)(n-3) = n² - 3² = n² - 9.
• Now we divide the result by the denominator: (n² - 9) / 25.
• Since the denominator doesn't factor into the numerator, this is our final simplified form. Hence, the expression cannot be reduced further and is just n² - 9 over 25.

None of the provided options A) n² - 3n - 9, B) n² + 3n - 9, C) n² - 6n - 9, or D) n² + 6n - 9 match the simplified expression. It appears there may be an error in the question or the options provided.