(n ^ { 5 } +n ^ { 4 } -12n ^ { 3 } -n ^ { 2 } -4n-2) \div (n+4)

asked by guest
on Mar 26, 2025 at 9:00 pm



You asked:

Evaluate the expression: n5+n412n3n24n2n+4\frac{{n}^{5} + {n}^{4} - 12 {n}^{3} - {n}^{2} - 4 n - 2}{n + 4}

MathBot Answer:

Evaluated



n5+n412n3n24n2n+4=n5+n412n3n24n2n+4\displaystyle \frac{{n}^{5} + {n}^{4} - 12 {n}^{3} - {n}^{2} - 4 n - 2}{n + 4} = \frac{n^{5} + n^{4} - 12 n^{3} - n^{2} - 4 n - 2}{n + 4}


Expanded

n5+n412n3n24n2n+4=n5n+4+n4n+412n3n+4n2n+44nn+42n+4\frac{{n}^{5} + {n}^{4} - 12 {n}^{3} - {n}^{2} - 4 n - 2}{n + 4} = \frac{n^{5}}{n + 4} + \frac{n^{4}}{n + 4} - \frac{12 n^{3}}{n + 4} - \frac{n^{2}}{n + 4} - \frac{4 n}{n + 4} - \frac{2}{n + 4}