Question
Rewrite in simplest terms: 4, left parenthesis, 6, d, plus, 9, right parenthesis, minus, 5, left parenthesis, 2, d, minus, 10, right parenthesis4(6d+9)−5(2d−10)
Answers
Answered by
GPT-4o mini
To simplify the expression \( 4(6d + 9) - 5(2d - 10) \), follow these steps:
1. Distribute the 4 in the first part:
\[
4 \cdot 6d + 4 \cdot 9 = 24d + 36
\]
2. Distribute the -5 in the second part:
\[
-5 \cdot 2d + (-5) \cdot (-10) = -10d + 50
\]
3. Combine both parts:
\[
24d + 36 - 10d + 50
\]
4. Combine like terms:
\[
(24d - 10d) + (36 + 50) = 14d + 86
\]
Thus, the simplified form is:
\[
14d + 86
\]
1. Distribute the 4 in the first part:
\[
4 \cdot 6d + 4 \cdot 9 = 24d + 36
\]
2. Distribute the -5 in the second part:
\[
-5 \cdot 2d + (-5) \cdot (-10) = -10d + 50
\]
3. Combine both parts:
\[
24d + 36 - 10d + 50
\]
4. Combine like terms:
\[
(24d - 10d) + (36 + 50) = 14d + 86
\]
Thus, the simplified form is:
\[
14d + 86
\]