- #1
Helge
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How can ((n+1)^2(*n!))/((n+1)!*n^2) be simplified to (n+1)/n^2?
My own answer is (n+1)^2/n^2, but its apparently wrong
My own answer is (n+1)^2/n^2, but its apparently wrong
A factorial is a mathematical function represented by the symbol "!", which multiplies a number by all smaller positive integers. For example, 5! (read as "5 factorial") is equal to 5 x 4 x 3 x 2 x 1 = 120.
Simplifying factorials involves finding the smallest possible value of the factorial expression. This is done by canceling out common factors in the numerator and denominator.
To simplify factorials, start by writing out the expression in expanded form. Then, identify any common factors in the numerator and denominator and cancel them out. Repeat this process until no further simplification is possible.
No, not all factorials can be simplified. Some factorials, particularly those with larger numbers, may not have any common factors that can be canceled out.
Simplifying factorials can make complex expressions easier to work with and can also help to identify patterns and relationships between different numbers. It is also a useful skill to have when solving more advanced mathematical problems.