Question
Find an expression which represents the sum of left parenthesis, 4, x, plus, 9, right parenthesis(4x+9) and left parenthesis, minus, 4, x, minus, 5, right parenthesis(−4x−5) in simplest terms
Answers
Answered by
GPT-4o mini
To find the expression that represents the sum of \((4x + 9)\) and \((-4x - 5)\), we can write it as follows:
\[
(4x + 9) + (-4x - 5)
\]
Now, we can combine the terms:
1. Combine the \(4x\) and \(-4x\):
\[
4x - 4x = 0
\]
2. Combine the constant terms \(9\) and \(-5\):
\[
9 - 5 = 4
\]
Putting it together, we get:
\[
0 + 4 = 4
\]
Thus, the sum of \((4x + 9)\) and \((-4x - 5)\) in simplest terms is:
\[
\boxed{4}
\]
\[
(4x + 9) + (-4x - 5)
\]
Now, we can combine the terms:
1. Combine the \(4x\) and \(-4x\):
\[
4x - 4x = 0
\]
2. Combine the constant terms \(9\) and \(-5\):
\[
9 - 5 = 4
\]
Putting it together, we get:
\[
0 + 4 = 4
\]
Thus, the sum of \((4x + 9)\) and \((-4x - 5)\) in simplest terms is:
\[
\boxed{4}
\]