SOLUTION: simplify: y-z/a+b times a^2-b^2/z-y please do it step by step so I understand it

Question 40707: simplify:
y-z/a+b times a^2-b^2/z-y
please do it step by step so I understand it
Answer by junior403(76) (Show Source): You can put this solution on YOUR website!
Simplify.

First we need to simplify by factoring in order to cancel these expressions.
The numerator in the fraction on the right is the difference of two squares.

We can factor this as (a+b)(a-b)because if we FOIL these out we get
In the denominator of the same fraction we can factor out a -1 in order to make the expression read (y-z) which is NOT the same as (z-y).
So now we have...

Now we can cancel out all of our like terms.
(y-z) in the numerator of the first expression can cancel with (y-z) in the denominator of the second expression.

(a+b)in the denominator of the first expression can cancel with (a+b) in the numerator of the second expression.
Which becomes...

Or...
-(a-b)
or...
(-a+b)
or...
(b-a)
This is in its simplist form.
I hope I explained this thoroughly enough for you.
Good Luck!

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