Question
Simplify the expression:
10(4+9d)+4d
10(4+9d)+4d
Answers
GPT-4o mini
To simplify the expression \( 10(4 + 9d) + 4d \), we first distribute the \( 10 \) in the term \( 10(4 + 9d) \):
\[
10 \cdot 4 + 10 \cdot 9d = 40 + 90d
\]
Now, substituting this back into the expression, we have:
\[
40 + 90d + 4d
\]
Next, we combine the like terms (the terms involving \( d \)):
\[
90d + 4d = 94d
\]
So, we can rewrite the expression as:
\[
40 + 94d
\]
Therefore, the simplified expression is:
\[
\boxed{40 + 94d}
\]
\[
10 \cdot 4 + 10 \cdot 9d = 40 + 90d
\]
Now, substituting this back into the expression, we have:
\[
40 + 90d + 4d
\]
Next, we combine the like terms (the terms involving \( d \)):
\[
90d + 4d = 94d
\]
So, we can rewrite the expression as:
\[
40 + 94d
\]
Therefore, the simplified expression is:
\[
\boxed{40 + 94d}
\]