(11x^4-9x^2+3x+11)-(2x^4+6x^3+2x-9) square

To simplify the given expression, we need to subtract the terms inside the second set of parentheses from the terms inside the first set of parentheses.<br /><br />$(11x^{4}-9x^{2}+3x+11)-(2x^{4}+6x^{3}+2x-9)$<br /><br />First, distribute the negative sign to each term inside the second set of parentheses:<br /><br />$(11x^{4}-9x^{2}+3x+11) - 2x^{4} - 6x^{3} - 2x + 9$<br /><br />Next, combine like terms:<br /><br />$11x^{4} - 2x^{4} - 9x^{2} - 6x^{3} + 3x - 2x + 11 + 9$<br /><br />Simplify the expression:<br /><br />$9x^{4} - 6x^{3} - 9x^{2} + x + 20$<br /><br />Therefore, the simplified expression is:<br /><br />$9x^{4} - 6x^{3} - 9x^{2} + x + 20$