# Can (x+2) be cancelled out by (x-2)

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(x+2 ) / (x-2)

So (x+2) is in the numerator and (x-2) is in the denominator

According to my textbook they both cancel out and make 1.

I don't see how it works because they're both not the same meaning that one is +2 and the other is -2

Thank you

So (x+2) is in the numerator and (x-2) is in the denominator

According to my textbook they both cancel out and make 1.

**Is this true?**I don't see how it works because they're both not the same meaning that one is +2 and the other is -2

Thank you

Last edited by Advanced-08234; 1 month ago

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#3

(Original post by

(x+2 ) / (x-2)

So (x+2) is in the numerator and (x-2) is in the denominator

According to my textbook they both cancel out and make 1.

I don't see how it works because they're both not the same meaning that one is +2 and the other is -2

Thank you

**Advanced-08234**)(x+2 ) / (x-2)

So (x+2) is in the numerator and (x-2) is in the denominator

According to my textbook they both cancel out and make 1.

**Is this true?**I don't see how it works because they're both not the same meaning that one is +2 and the other is -2

Thank you

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(Original post by

You are right to say that the answer is "no", unless there is a bit more context in the text book about the particular situation they are talking about. Can you show us a photo of where they say this?

**Pangol**)You are right to say that the answer is "no", unless there is a bit more context in the text book about the particular situation they are talking about. Can you show us a photo of where they say this?

Here you go.

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https://imgur.com/a/gxvzP1B

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#6

(Original post by

That's really confusing because my textbook is saying otherwise. Is my textbook incorrect?

https://imgur.com/a/gxvzP1B

Thank you

**Advanced-08234**)That's really confusing because my textbook is saying otherwise. Is my textbook incorrect?

https://imgur.com/a/gxvzP1B

Thank you

The text book is canceling things across both halves of the multiple, after you multiply both fractions together

Last edited by mnot; 1 month ago

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(Original post by

Ah I see now. They are cancelling the x - 2 in the numerator of the first fraction with the x - 2 in the denominator of the second, and vice versa for the x + 2.

**Pangol**)Ah I see now. They are cancelling the x - 2 in the numerator of the first fraction with the x - 2 in the denominator of the second, and vice versa for the x + 2.

Thank you

Last edited by Advanced-08234; 1 month ago

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(Original post by

The text book is canceling things across both halves of the multiple, after you multiply both fractions together

**mnot**)The text book is canceling things across both halves of the multiple, after you multiply both fractions together

Thank you

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#10

Let's see this from a different perspective.

I believe that you said x+2/x-2 = 1

Use the case x=2

What is that you get? 4/0 and that cannot be one but infinity.

Now the case x not equal to 2

What do you get? Solve the equation

x+2= x-2 ending up with a contradiction 2=-2

Now that I had a look at the question and it isn't what you have described.

x+2 in the numerator cancels another x+2 in the denominator and likewise for x-2

(Original post by

(x+2 ) / (x-2)

So (x+2) is in the numerator and (x-2) is in the denominator

According to my textbook they both cancel out and make 1.

I don't see how it works because they're both not the same meaning that one is +2 and the other is -2

Thank you

I believe that you said x+2/x-2 = 1

Use the case x=2

What is that you get? 4/0 and that cannot be one but infinity.

Now the case x not equal to 2

What do you get? Solve the equation

x+2= x-2 ending up with a contradiction 2=-2

Now that I had a look at the question and it isn't what you have described.

x+2 in the numerator cancels another x+2 in the denominator and likewise for x-2

**Advanced-08234**)

(x+2 ) / (x-2)

So (x+2) is in the numerator and (x-2) is in the denominator

According to my textbook they both cancel out and make 1.

**Is this true?**

I don't see how it works because they're both not the same meaning that one is +2 and the other is -2

Thank you

Last edited by Lucifer323; 1 month ago

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