# SOLUTION: simplify this expression: (x-5)^3/|x-5| I have the answer:(x-5)*|x-5|, but do not know how to get there

Algebra ->  Algebra  -> Absolute-value -> SOLUTION: simplify this expression: (x-5)^3/|x-5| I have the answer:(x-5)*|x-5|, but do not know how to get there      Log On

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 Algebra: Absolute value Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on absolute-value Question 203523: simplify this expression: (x-5)^3/|x-5| I have the answer:(x-5)*|x-5|, but do not know how to get thereAnswer by jsmallt9(3296)   (Show Source): You can put this solution on YOUR website!One of the earliest lessons you learn about absolute value is that the absolute value of a positive number is that number. This is also true of the absolute value of 0. And finally the absolute value of a negative number is that number without its minus sign. Another way to express this is: The absolute value of a negative number is the negative of that negative number. Expressing these ideas in mathematical notation: if , then if , then We will use these to simplify: Case: If , then so your expression becomes: This simplifies to Substituting in for (Remember they are equal if which is true in this case): Case: If , then so your expression becomes: This simplifies to Substituting in for (Remember they are equal if which is true in this case): In either case we end up with .