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Simplify the polynomial below in stanard form

(x^2 - 4x + 3) + (2x^2 + 2x - 1)

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To simplify the polynomial \((x^2 - 4x + 3) + (2x^2 + 2x - 1)\), we start by combining like terms.

  1. Combine the \(x^2\) terms: \[ x^2 + 2x^2 = 3x^2 \]

  2. Combine the \(x\) terms: \[ -4x + 2x = -2x \]

  3. Combine the constant terms: \[ 3 - 1 = 2 \]

Now, we can write the simplified polynomial in standard form: \[ 3x^2 - 2x + 2 \]

Thus, the simplified polynomial is: \[ \boxed{3x^2 - 2x + 2} \]