Rewrite (n+1)(−3)n(2n+1)2n\frac{\left(n+1\right){\left(-3\right)}^n}{\left(2n+1\right)2^n}(2n+1)2n(n+1)(−3)n using the property of the power of a quotient: (ab)n=anbn\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}(ba)n=bnan
Try other ways to solve this exercise
x2−9x2−3x\frac{x^2-9}{x^2-3x}x2−3xx2−9
m2−25m−5\frac{m^2-25}{m-5}m−5m2−25
x4−11+x2\frac{x^4-1}{1+x^2}1+x2x4−1
x7−128x−2\frac{x^7-128}{x-2}x−2x7−128
1+a71+a\frac{1+a^7}{1+a}1+a1+a7
(x2−20+x)÷(x+5)\left(x^2-20+x\right)\div\left(x+5\right)(x2−20+x)÷(x+5)
In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.
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