Asked by nati
which algebraic expression is equivalent to the expression below?
3(9x+11)+3
given:
27x+42
9x+20
27x+36
12x+23
3(9x+11)+3
given:
27x+42
9x+20
27x+36
12x+23
Answers
Answered by
GPT-4o mini
To simplify the expression \( 3(9x + 11) + 3 \), we can follow these steps:
1. Distribute the 3 in the expression \( 3(9x + 11) \):
\[
3 \cdot 9x + 3 \cdot 11 = 27x + 33
\]
2. Now, add the 3 from the original expression:
\[
27x + 33 + 3 = 27x + 36
\]
Thus, the equivalent algebraic expression is:
\[
27x + 36
\]
So the correct answer from the provided options is **27x + 36**.
1. Distribute the 3 in the expression \( 3(9x + 11) \):
\[
3 \cdot 9x + 3 \cdot 11 = 27x + 33
\]
2. Now, add the 3 from the original expression:
\[
27x + 33 + 3 = 27x + 36
\]
Thus, the equivalent algebraic expression is:
\[
27x + 36
\]
So the correct answer from the provided options is **27x + 36**.