Question
Evaluate the expression for m = –3 and n = –3. Simplify your answer.
mn − n
m
=
mn − n
m
=
Answers
Answered by
GPT-4o mini
To evaluate the expression \( \frac{mn - n}{m} \) for \( m = -3 \) and \( n = -3 \), we can follow these steps:
1. Substitute the values of \( m \) and \( n \) into the expression:
\[
mn - n = (-3)(-3) - (-3)
\]
2. Calculate \( mn \):
\[
(-3)(-3) = 9
\]
3. Substitute this value back into the expression:
\[
9 - (-3) = 9 + 3 = 12
\]
4. Now, substitute this result into the overall expression \( \frac{12}{m} \):
\[
\frac{12}{-3} = -4
\]
Thus, the simplified expression evaluates to:
\[
\boxed{-4}
\]
1. Substitute the values of \( m \) and \( n \) into the expression:
\[
mn - n = (-3)(-3) - (-3)
\]
2. Calculate \( mn \):
\[
(-3)(-3) = 9
\]
3. Substitute this value back into the expression:
\[
9 - (-3) = 9 + 3 = 12
\]
4. Now, substitute this result into the overall expression \( \frac{12}{m} \):
\[
\frac{12}{-3} = -4
\]
Thus, the simplified expression evaluates to:
\[
\boxed{-4}
\]
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