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How do I simplify the fraction (x-6)/((x^2)-36) into reduced form?
 Jan 30, 2014
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LDziwoki:

How do I simplify the fraction (x-6)/((x^2)-36) into reduced form?



To do this you need to recognise that a 2-b 2 is a difference of 2 squares. and this is how it factorises.

a 2-b 2 = (a-b)(a+b) You need to know this!

The denominator of your fraction is x 2-36 => x 2-6 2 => (x-6)(x+6)

So your fraction has become

(x-6) / [(x-6)(x+6)]

= 1 / (x+6)
The other factor cancels out.

Now instead of writing x^2 it would be better if you write x 2 and I will show you how this is done.

put x then hit the sup button located above the smilies, put the 2 where it wants you to, then click out to the end and keep going with your question.
Give it a go now before you forget.

Sup stands for superscript and sub stands for subscript
 Jan 30, 2014

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