Subtract the following polynomials: (15n+5n^7+14n^4)-(-2n^4+3n^7+2n) 2n^7+16n^4+13n 31n^13 2n^7+12n^4+13n 8n^7+12n^4+17n

To subtract the given polynomials, we need to distribute the negative sign across the second polynomial and then combine like terms.<br /><br />The expression is:<br />\[<br />(15n + 5n^7 + 14n^4) - (-2n^4 + 3n^7 + 2n)<br />\]<br /><br />First, distribute the negative sign:<br />\[<br />15n + 5n^7 + 14n^4 + 2n^4 - 3n^7 - 2n<br />\]<br /><br />Now, combine like terms:<br /><br />1. Combine the \(n^7\) terms:<br /> \[<br /> 5n^7 - 3n^7 = 2n^7<br /> \]<br /><br />2. Combine the \(n^4\) terms:<br /> \[<br /> 14n^4 + 2n^4 = 16n^4<br /> \]<br /><br />3. Combine the \(n\) terms:<br /> \[<br /> 15n - 2n = 13n<br /> \]<br /><br />Putting it all together, the result is:<br />\[<br />2n^7 + 16n^4 + 13n<br />\]<br /><br />Therefore, the correct answer is:<br />\[<br />2n^7 + 16n^4 + 13n<br />\]