Find the sum of the polynomial. (Make sure your answer is in Standard Form) (2x^3-2x^2)+(5x-3x^2) square

To find the sum of the given polynomials, we need to combine like terms. Let's start by writing down the polynomials and then group the like terms together:<br /><br />\[<br />(2x^3 - 2x^2) + (5x - 3x^2)<br />\]<br /><br />First, identify and group the like terms:<br /><br />- The \(x^3\) terms: \(2x^3\)<br />- The \(x^2\) terms: \(-2x^2\) and \(-3x^2\)<br />- The \(x\) terms: \(5x\)<br /><br />Now, combine the like terms:<br /><br />1. Combine the \(x^3\) terms:<br /> \[<br /> 2x^3<br /> \]<br /><br />2. Combine the \(x^2\) terms:<br /> \[<br /> -2x^2 - 3x^2 = -5x^2<br /> \]<br /><br />3. Combine the \(x\) terms:<br /> \[<br /> 5x<br /> \]<br /><br />Putting it all together, we get the polynomial in standard form:<br /><br />\[<br />2x^3 - 5x^2 + 5x<br />\]<br /><br />So, the sum of the given polynomials in standard form is:<br /><br />\[<br />\boxed{2x^3 - 5x^2 + 5x}<br />\]