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find the sum

(2x^2 + 5x - 7) + (3 - 4x^2 + 6x)

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To find the sum of the two polynomials \((2x^2 + 5x - 7)\) and \((3 - 4x^2 + 6x)\), we can combine like terms.

Start by rewriting the expression:

\[ (2x^2 + 5x - 7) + (3 - 4x^2 + 6x) \]

Now, combine the terms:

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

  2. Combine the \(x\) terms: \[ 5x + 6x = 11x \]

  3. Combine the constant terms: \[ -7 + 3 = -4 \]

Now, put it all together:

\[ -2x^2 + 11x - 4 \]

Thus, the sum of the expressions is:

\[ \boxed{-2x^2 + 11x - 4} \]