Subtract the following polynomials: (5x^2-3x+2)-(3x^2+9x-11) 2x^2+6x-9 2x^2-12x-9 2x^2-12x+13 8x^2+6x-9

To subtract the polynomials \( \left(5x^{2} - 3x + 2\right) - \left(3x^{2} + 9x - 11\right) \), follow these steps:<br /><br />1. Distribute the negative sign across the second polynomial:<br /> \[<br /> 5x^{2} - 3x + 2 - 3x^{2} - 9x + 11<br /> \]<br /><br />2. Combine like terms:<br /> - For \( x^2 \) terms: \( 5x^{2} - 3x^{2} = 2x^{2} \)<br /> - For \( x \) terms: \( -3x - 9x = -12x \)<br /> - For constant terms: \( 2 + 11 = 13 \)<br /><br />Putting it all together, the result is:<br />\[<br />2x^{2} - 12x + 13<br />\]<br /><br />Therefore, the correct answer is \( 2x^{2} - 12x + 13 \).