Simplify (14x2−3x+2.25)+(0.75x2+2x−14) .(1 point)

2 answers

To simplify the expression \((14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)\), we can follow these steps:

  1. Combine like terms:

    • Combine the \(x^2\) terms: \(14x^2 + 0.75x^2\)
    • Combine the \(x\) terms: \(-3x + 2x\)
    • Combine the constant terms: \(2.25 - 14\)
  2. Perform the calculations:

    • For the \(x^2\) terms: \[ 14x^2 + 0.75x^2 = 14.75x^2 \]
    • For the \(x\) terms: \[ -3x + 2x = -1x \quad \text{or simply } -x \]
    • For the constant terms: \[ 2.25 - 14 = 2.25 - 14 = -11.75 \]
  3. Combine all simplified parts: Putting it all together, we have: \[ 14.75x^2 - x - 11.75 \]

Thus, the simplified expression is: \[ \boxed{14.75x^2 - x - 11.75} \]

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