(8x^5+6x^3-2x^2+10x)-(9x^5-x^3-13x^2+4) square

To simplify the given expression, we need to combine like terms. Let's break it down step by step:<br /><br />Given expression:<br />\[<br />(8x^{5} + 6x^{3} - 2x^{2} + 10x) - (9x^{5} - x^{3} - 13x^{2} + 4)<br />\]<br /><br />First, distribute the negative sign through the second set of parentheses:<br />\[<br />8x^{5} + 6x^{3} - 2x^{2} + 10x - 9x^{5} + x^{3} + 13x^{2} - 4<br />\]<br /><br />Next, combine like terms:<br />- For \(x^5\): \(8x^{5} - 9x^{5} = -x^{5}\)<br />- For \(x^3\): \(6x^{3} + x^{3} = 7x^{3}\)<br />- For \(x^2\): \(-2x^{2} + 13x^{2} = 11x^{2}\)<br />- For \(x\): \(10x\) (no corresponding term in the second polynomial)<br />- Constant term: \(-4\) (no corresponding term in the first polynomial)<br /><br />Putting it all together, we get:<br />\[<br />-x^{5} + 7x^{3} + 11x^{2} + 10x - 4<br />\]<br /><br />So, the simplified expression is:<br />\[<br />-x^{5} + 7x^{3} + 11x^{2} + 10x - 4<br />\]