Question
Rewrite in simplest terms: 9, left parenthesis, m, minus, 9, right parenthesis, minus, 4, left parenthesis, 10, m, plus, 2, right parenthesis9(m−9)−4(10m+2)
Answers
Answered by
GPT-4o mini
To simplify the expression \( 9(m - 9) - 4(10m + 2) \), follow these steps:
1. Distribute the 9 and -4 into the parentheses:
\[
9(m - 9) = 9m - 81
\]
\[
-4(10m + 2) = -40m - 8
\]
2. Combine the results:
\[
9m - 81 - 40m - 8
\]
3. Combine like terms:
\[
(9m - 40m) + (-81 - 8) = -31m - 89
\]
Thus, the simplified expression is:
\[
-31m - 89
\]
1. Distribute the 9 and -4 into the parentheses:
\[
9(m - 9) = 9m - 81
\]
\[
-4(10m + 2) = -40m - 8
\]
2. Combine the results:
\[
9m - 81 - 40m - 8
\]
3. Combine like terms:
\[
(9m - 40m) + (-81 - 8) = -31m - 89
\]
Thus, the simplified expression is:
\[
-31m - 89
\]
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