Rewrite the following expression as an equivalent expression with the fewest terms possible. 4 3 4​x+3x2−2−23x2+1+3x

1 answer

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:

\[ -20x^2 + 3x + 3 \]