Question
Add ir subtract to simplify
(4x^2+x)-(x^2+2x)
(4x^2+x)-(x^2+2x)
Answers
GPT-4o mini
To simplify the expression \((4x^2 + x) - (x^2 + 2x)\), we can follow these steps:
1. Distribute the negative sign across the second set of parentheses:
\[
(4x^2 + x) - (x^2 + 2x) = (4x^2 + x) - x^2 - 2x
\]
2. Combine like terms:
- Combine the \(x^2\) terms: \(4x^2 - x^2 = 3x^2\)
- Combine the \(x\) terms: \(x - 2x = -x\)
Putting it all together, we have:
\[
3x^2 - x
\]
Thus, the simplified expression is:
\[
\boxed{3x^2 - x}
\]
1. Distribute the negative sign across the second set of parentheses:
\[
(4x^2 + x) - (x^2 + 2x) = (4x^2 + x) - x^2 - 2x
\]
2. Combine like terms:
- Combine the \(x^2\) terms: \(4x^2 - x^2 = 3x^2\)
- Combine the \(x\) terms: \(x - 2x = -x\)
Putting it all together, we have:
\[
3x^2 - x
\]
Thus, the simplified expression is:
\[
\boxed{3x^2 - x}
\]