Cancel fractions

Compress the expression of factorial:

(n+6)!/(n+4)!-n!/(n-2)!

Result

e = (Correct answer is: 12n+30) Wrong answer

Step-by-step explanation:

e=(n+6)!/(n+4)!n!/(n2)! e=(n+6)(n+5)(n+4)!/(n+4)!n(n1)(n2)!/(n2)! e=(n+6)(n+5)n(n1) e=n2+6n+5n+6 5n2n e=12n+30



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







Tips to related online calculators
Need help to calculate sum, simplify or multiply fractions? Try our fraction calculator.
Would you like to compute count of combinations?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Sequence
    seq Write the first 6 members of this sequence: a1 = 5 a2 = 7 an+2 = an+1 +2 an
  • Series
    fib Your task is express the sum of the following arithmetic series for n = 14: S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11
  • Sequence
    Quadratic_equation In the arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n.
  • Divide
    hrusky How many different ways can three people divide 7 pears and 5 apples?
  • Candy
    bulls How many ways can divide 10 identical candies to 5 children?
  • Forces
    vectors Forces with magnitudes F1 = 42N and F2 = 35N act at a common point and make an angle of 77°12'. How big is their resultant?
  • Two forces
    forces The two forces F1 = 580N and F2 = 630N, have an angle of 59 degrees. Calculate their resultant force, F.
  • Binomial probability
    binomial What is the binominal probability that at least 4 of the 6 trials (n=6) are succeeded where φ = 0.50?
  • Exp
    old_calculator If sqrt[7](202-122) = sqrt[n](256), then n is:
  • N points on the side
    equliateral There is an equilateral triangle A, B, C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides.
  • Solve 3
    eq2 Solve quadratic equation: (6n+1) (4n-1) = 3n2
  • N-gon
    ngon How many diagonals have convex 11-gon?
  • Four pavers
    tiles2 Four pavers would pave the square in 18 days. How many pavers do you need to add to done work in 12 days?
  • Bridge cards
    cards2 How many bridge hands are possible containing 4 spades,6 diamonds, 1 club, and 2 hearts?
  • Boats
    ship Three-quarters of boats are white, 1/7 are blue and 9 are red. How many boats do we have?
  • Cinema
    stale_kvoka How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?
  • Three-digit numbers
    poker_hand_ranking How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)?