How to Strike Through Text in LaTeX?

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    Factorial Simplify
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Discussion Overview

The discussion revolves around how to implement strikethrough text in LaTeX, with participants also exploring factorial expressions and their simplifications. The scope includes technical explanations and practical applications of LaTeX commands.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant presents a factorial expression and attempts to simplify it, noting that $n$ and $m$ are positive integers and $a > b$ and $a > 2$.
  • Another participant elaborates on the factorial expression, breaking it down into its components and confirming the simplification.
  • A later post reiterates the simplification of the factorial expression, presenting it in a slightly different notation for clarity.
  • One participant inquires about how to create strikethrough text in LaTeX, expressing confusion over the available tools.
  • Another participant responds by mentioning the use of the \cancel{} command and points out that there are two types of strikethrough available in the "algebra" section of the Quick LaTeX tool.

Areas of Agreement / Disagreement

Participants generally agree on the factorial simplification, but there is no consensus on the best method for creating strikethrough text in LaTeX, as some participants express confusion about the available tools.

Contextual Notes

There are limitations regarding the clarity of available LaTeX tools for strikethrough text, and the discussion does not resolve the best approach for this formatting.

karush
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Simplify. Assume that $n$ and $m$ are positive integers,
$a>b$, and $a>2$.$\frac{\left(a+1\right)!}{\left(a-2\right)!}$

was helping a friend with this but was clueless
I know that n! $=n(n-1)(n-2) ... $
 
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We have that $$(a+1)!=(a+1)\cdot a\cdot (a-1)\cdot (a-2)\cdots 1=(a+1)\cdot a\cdot (a-1)\cdot (a-2)!$$
 
So finally
$$\frac{\left(a+1\right)!}{\left(a-2\right)!}=\frac{\left(a+1\right)a\left(a-1\right)\left(a-2\right)...}{\left(a-2\right)!}=\left(a+1\right)a\left(a-1\right)$$
 
karush said:
So finally
$$\frac{\left(a+1\right)!}{\left(a-2\right)!}=\frac{\left(a+1\right)a\left(a-1\right)\left(a-2\right)...}{\left(a-2\right)!}=\left(a+1\right)a\left(a-1\right)$$

While that is certainly correct, I think a more clear notation would be:

$$\frac{(a+1)!}{(a-2)!}=\frac{(a+1)a(a-1)\cancel{(a-2)!}}{\cancel{(a-2)!}}=a(a+1)(a-1)$$
 
how is a strike though done with latex didn't see a tool for that on the menu?
 
karush said:
how is a strike though done with latex didn't see a tool for that on the menu?

I used the \cancel{} command in my post...you can find 2 types of strikethrough in the "algebra" section of the "Quick $\LaTeX$ tool at the bottom right. :)
 

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