Questions: Find an expression which is NOT equivalent to the one below. - (9n-9)/(n+7) Choose the expression that is not equivalent. A. (-(9n-9))/(n+7) B. (9n-9)/(-n-7) C. (9n-9)/(n-7) D. (-9n+9)/(n+7)

Find an expression which is NOT equivalent to the one below.
- (9n-9)/(n+7)

Choose the expression that is not equivalent.
A. (-(9n-9))/(n+7) B. (9n-9)/(-n-7)
C. (9n-9)/(n-7) D. (-9n+9)/(n+7)

Transcript text: Find an expression which is NOT equivalent to the one below. \[ -\frac{9 n-9}{n+7} \] Choose the expression that is not equivalent. A. $\frac{-(9 n-9)}{n+7}$ B. $\frac{9 n-9}{-n-7}$ C. $\frac{9 n-9}{n-7}$ D. $\frac{-9 n+9}{n+7}$

Solution

Solution Steps

Step 1: Analyze the given expression

The given expression is: \[ -\frac{9n - 9}{n + 7} \] This can be rewritten as: \[ \frac{-(9n - 9)}{n + 7} = \frac{-9n + 9}{n + 7} \]

Step 2: Compare with option A

Option A is: \[ \frac{-(9n - 9)}{n + 7} \] This is equivalent to the given expression, as shown in Step 1.

Step 3: Compare with option B

Option B is: \[ \frac{9n - 9}{-n - 7} \] This can be rewritten as: \[ \frac{9n - 9}{-(n + 7)} = -\frac{9n - 9}{n + 7} \] This is also equivalent to the given expression.

Step 4: Compare with option C

Option C is: \[ \frac{9n - 9}{n - 7} \] This expression has a different denominator ($n - 7$) compared to the given expression ($n + 7$). Therefore, it is not equivalent to the given expression.

Step 5: Compare with option D

Option D is: \[ \frac{-9n + 9}{n + 7} \] This is equivalent to the given expression, as shown in Step 1.