Question

Simplify the fraction. Question attached.

Answer 1

\[x(x ^{2}+x+1)/x+1\] is your answer

Answer 2

how did get to that answer?

Answer 3

\[\Large\dfrac{x^{n+3}-x^n}{x^{n+2}-x^n} = \dfrac{x^n(x^{3}-1)}{x^n(x^{2}-1)}\]\[\Large~~~~~~~~~~~~~~~~~=\dfrac{x^3-1}{x^2 -1} = \dfrac{(x-1)(x^2+x+1)}{(x-1)(x+1)} = \boxed{\dfrac{x^2+x+1}{x+1}}\]

Answer 4

Is this clear? @Softballgirl372015

Answer 5

yes this very clear. Thank you so much!

Answer 6

You're welcome.