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

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 there
Answer by jsmallt9(3758) (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 .
RELATED QUESTIONS
I need to simplify the expression: (15-2x-x^2)/(3x^2-8x-3) I know the simplified form (answered by Fombitz)

{{{((15/x)-5)/(x-3)}}}, simplify with rationalizing and substitute in 3 for x. The answer (answered by josgarithmetic,MathTherapy)

4x/5 + 3/2 = 2x I dont understand how to get the value of x. I know to simplify down the... (answered by mananth)

Hi can someone please help me. I have to simplify the expression and state the excluded... (answered by stanbon)

GFC of binomial. I know the GFC is (5-x) but I am not sure how to get the rest of the... (answered by Earlsdon)

Solving log(x^2-15)=1 Do not know how to solve for this. The answer is +or- 5, but... (answered by Alan3354,MathLover1)

sgrt(x+5)+sqrt(x-3)=4 I've tried and tried this, and just don't know how to get x. The... (answered by lwsshak3)

Please help me with this algebra 2 problem. Directions: Using inverses simplify the... (answered by solver91311)

I get different answers depending on how I simplify the expression {{{5^(3log(25,a))}}}.... (answered by Alan3354,moyshekapoyre,MathTherapy)