Question

Find the least common denominator please

Answer 1

(n -4)(n +1)^2 = n^3 -2n^2 -7n -4

Explanation:

The least common denominator is the smallest denominator that lets you write the sum as a single fraction.

`(n^5)/(n^2+2n+1)+(-4)/(n^2-3n-4)=(n^5)/((n+1)^2)+(-4)/((n+1)(n-4))\\\\=(n^5)/((n+1)^2)\cdot(n-4)/(n-4)+(-4)/((n+1)(n-4))\cdot(n+1)/(n+1)=(n^5(n-4)-4(n+1))/((n+1)^2(n-4))\\\\=(n^6-4n^5-4n-4)/(n^3-2n^2-7n-4)`

The least common denominator is ...

(n-4)(n+1)^2 = n^3 -2n^2 -7n -4