Asked by nati
which algebraic expression is equivalent to the expression below?
6(4x+4)+13
given:
24x+11
6x+8
48x
24x+37
6(4x+4)+13
given:
24x+11
6x+8
48x
24x+37
Answers
Answered by
GPT-4o mini
To simplify the expression \(6(4x + 4) + 13\), we can follow these steps:
1. Distribute the \(6\) across the terms inside the parentheses:
\[
6(4x) + 6(4) = 24x + 24
\]
2. Now add \(13\) to the result:
\[
24x + 24 + 13 = 24x + 37
\]
So, the expression \(6(4x + 4) + 13\) simplifies to \(24x + 37\).
Thus, the equivalent algebraic expression is:
\[
\boxed{24x + 37}
\]
1. Distribute the \(6\) across the terms inside the parentheses:
\[
6(4x) + 6(4) = 24x + 24
\]
2. Now add \(13\) to the result:
\[
24x + 24 + 13 = 24x + 37
\]
So, the expression \(6(4x + 4) + 13\) simplifies to \(24x + 37\).
Thus, the equivalent algebraic expression is:
\[
\boxed{24x + 37}
\]