Simplify
y²- x² - (x² - y²) =
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Step-by-step explanation:
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Answer:
(x^2 - y^2) / (x^2 + xy)
For the top part, you need to recognize that (x^2 - y^2) is a product of a conjugate. Please look up the term and know how to identify conjugate. That is it factors down to (x - y) * (x + y). So the first step will result in :
[(x - y) * (x + y)] / (x^2 + xy)
The next step is to factor the bottom half. There are x’s on both parts. So factor out the x and get: x (x + y). Here is the result of the next step:
[(x - y) * (x + y)] / [x (x + y)]
The final step is to reduce like terms that are on top and the bottom. That is (x + y). So you are left as the FINAL answer:
(x - y) / x
If x is not = to 0.
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