I am struggling with the partial fraction decomposition of ((2l+1)(l+1))/(K+(l+1)(l+2)(l-1)), where K is a positive real number. I would like to decompose it in a sum of simpler polynomial fractions. I tried the Mathematica's function "Apart" but it is returning the fraction so I am thinking there is no simple partial fraction decomposition. Could you help me?

Which expression has both 8 and n as factors???

One number is 2 more than 3 times another. Their sum is 22. Find the numbers
8, 14
5, 17
2, 20
4, 18
10, 12

Perform the indicated operation and simplify the result. Leave your answer in factored form
${\displaystyle \left[\frac{(4x-8)}{(-3x)}\right].\left[\frac{12}{(12-6x)}\right]}$

An ordered pair set is referred to as a ___?

Please, can u convert 3.16 (6 repeating) to fraction.

Write an algebraic expression for the statement '6 less than the quotient of x divided by 3 equals 2'.
A) $6-<!--\; -\; -->\frac{x}{3}=2$
B) $\frac{x}{3}-<!--\; -\; -->6=2$
C) 3x−6=2
D) $\frac{3}{x}-<!--\; -\; -->6=2$

Find: $2.48÷4$.

Multiplication $999\times <!--\; \times \; -->999$ equals.

Solve: (128÷32)÷(−4)=
A) -1
B) 2
C) -4
D) -3

What is ${\displaystyle 0.78888.....}$ converted into a fraction? ${\displaystyle \left(0.7\overline{8}\right)}$

The mixed fraction representation of 7/3 is...

How to write the algebraic expression given: the quotient of 5 plus d and 12 minus w?

Express 200+30+5+4100+71000 as a decimal number and find its hundredths digit.
A)235.47,7
B)235.047,4
C)235.47,4
D)234.057,7

Find four equivalent fractions of the given fraction:$\frac{6}{12}$

How to find the greatest common factor of ${\displaystyle 80x^3,30y{x}^2}$?