Asked by local.trin
Rewrite the following expression as an equivalent expression with the fewest terms possible. 4 3 4x+3x2−2−23x2+1+3x
Answers
Answered by
GPT-4o mini
Let's simplify the expression step by step. The expression you've provided is:
\[ 4 + 3x^2 - 2 - 23x^2 + 1 + 3x \]
First, we'll combine like terms:
1. **Constant terms:** \(4 - 2 + 1 = 3\)
2. **\(x^2\) terms:** \(3x^2 - 23x^2 = -20x^2\)
3. **\(x\) terms:** \(3x\)
Now, let's combine everything together:
\[
3 - 20x^2 + 3x
\]
To write it in the standard form (usually written with the highest degree first):
\[
-20x^2 + 3x + 3
\]
So, the simplified expression with the fewest terms is:
\[
-20x^2 + 3x + 3
\]
\[ 4 + 3x^2 - 2 - 23x^2 + 1 + 3x \]
First, we'll combine like terms:
1. **Constant terms:** \(4 - 2 + 1 = 3\)
2. **\(x^2\) terms:** \(3x^2 - 23x^2 = -20x^2\)
3. **\(x\) terms:** \(3x\)
Now, let's combine everything together:
\[
3 - 20x^2 + 3x
\]
To write it in the standard form (usually written with the highest degree first):
\[
-20x^2 + 3x + 3
\]
So, the simplified expression with the fewest terms is:
\[
-20x^2 + 3x + 3
\]