(3x^2+8x-6)+(4 x^2 -10x+11)

To combine the two polynomials \((3x^2 + 8x - 6)\) and \((4x^2 - 10x + 11)\), you can add the corresponding coefficients of each term.

Let's break it down:

1. Combine the \(x^2\) terms: \[ 3x^2 + 4x^2 = 7x^2 \]

2. Combine the \(x\) terms: \[ 8x - 10x = -2x \]

3. Combine the constant terms: \[ -6 + 11 = 5 \]

Putting it all together, the result of the addition is: \[ 7x^2 - 2x + 5 \]

So, \((3x^2 + 8x - 6) + (4x^2 - 10x + 11) = 7x^2 - 2x + 5\).