Question

I WILL AWARD MEDAL !!!!!!!!!!!!!!!!!!!!
PLEASE HELP!!!!!!!!!!!!!!!!!
Using complete sentences, describe the benefit of simplifying rational expressions before multiplying.

Answer 1

@tcarroll010 @jim_thompson5910 @whpalmer4 @Hero

Answer 2

Well, it makes computations as simple as possible that would otherwise be more expanded than necessary.

Answer 3

Simplifying before computing leads to more simpler expressions. Not simplifying before computing leads to more complex expressions. Therefore, your first impulse when solving any kind of equation or reducing any expression should be to 'simplify' first if possible.

Answer 4

Also can you help me in this question also Using complete sentences, describe how you would check the quotient of two rational expressions. Create and demonstrate your own example of this concept.

Answer 5

Are you taking a test?

Answer 6

Be honest.

Answer 7

A quiz is essentially a test, just on a smaller scale.

Answer 8

Yes

Answer 9

@tkhunny, I figured you were shadowing me.

Answer 10

"Using complete sentences, describe the benefit of simplifying rational expressions before multiplying. "

Here's mine: There may or may not be benefits to simplifying rational expressions before multiplying. If you don't happen to need the simplified version, then it was a waste of time.

Answer 11

Example @tkhunny

Answer 12

I've always simplifed first before simplifying expressions. I have yet to 'not need' the simpler version.

Answer 13

Although there was that one problem I did....

Answer 14

Help me with this one please Using complete sentences, describe how you would check the quotient of two rational expressions. Create and demonstrate your own example of this concept.

Answer 15

Fair enough:

\(\dfrac{y^{2} - 2y}{y} = 0\) -- Solve for \(y^{2}\)

Answer 16

The entire question please >1/2

Answer 17

If you're solving for \(y^2\) then you're solving for \(y^2\). It would make no sense to simplify in this case.

Answer 18

That's why we say simplify (if necessary) usually.

Answer 19

So, you're buying it? :-)

Answer 20

In this case, it isn't necessary

Answer 21

Oh so you are trying to trick me huh.

Answer 22

@tkhunny I sm talking to you not @Hero

Answer 23

However, suppose someone did decide to simplify first. They would get

y - 2 = 0
y = 2

Then multiply both sides by y to get
y^2 = 2y

So...same difference

Answer 24

@magbak Just trying to be thorough. You'll be the only one in your class with a counter example to the original premise. :-)

@hero For sure. Unique answers don't care how you find them?

Answer 25

I was hoping to get a answer to my question not to get lost in a mathematical argument

Answer 26

This isn't a mathematical argument per se.

Answer 27

It is not so where is my answer in all of this. I am not trying to be rude or anything.

Answer 28

Okay, without the finer points:

Simplification prior to multiplication keeps all expressions smaller and more manageable.

How's that?

Answer 29

Is this for the second question or the main post I already understood the main question not the second question.

Answer 30

On the other hand:

\(\dfrac{x^{2}-1}{x+1}\cdot\dfrac{x-1}{x^{2}-1}\)

I would NOT simplify that one factor at a time.

Answer 31

What do you mean by that @tkhunny?

Answer 32

\(\dfrac{x^{2} - 1}{x^{2} - 1}\cdot\dfrac{x-1}{x+1} = \dfrac{x-1}{x+1}\)

Much better way to go.

Answer 33

That's still simplification in my opinion. You didn't expand or multiply.

Answer 34

The premise is "simplifying rational expressions before multiplying. " I eliminated the multiplication (or reduced the multiplicand to unity.)

Answer 35

Yet another reason for simplifying. In cases such as this, you may not even have to multiply anything.

Answer 36

@magbak " Create and demonstrate YOUR OWN example of this concept. " (bold added)

No one can help you with this.

Answer 37

WHY NOT YOU ARE SO LAYZY

Answer 38

And you're not @magbak?

Answer 39

I'm not in your head.

Answer 40

I am just joking I am probably the most laziest person on earth after a couch potato.

Answer 41

Joke accepted. Now, get to work on that example.