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please help in the math [tex] \frac{x + y}{x – y} + \frac{x – y}{x + y} – \frac{2( {x}^{2} – {y}^{2}) }{ {x}^{2} – {y}^{2} }
Question
please help in the math
in progress
0
Mathematics
3 years
2021-07-18T18:03:55+00:00
2021-07-18T18:03:55+00:00 2 Answers
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Answers ( )
Answer:
Step-by-step explanation:
we want to simplify the following
notice that we can reduce the fraction thus do so:
in order to simplify the addition of the algebraic fraction the first step is to figure out the LCM of the denominator and that is (x-y)(x+y) now divide the LCM by the denominator of very fraction and multiply the result by the numerator which yields:
factor using (a-b)²=a²+b²-2ab
remove parentheses
simplify:
9514 1404 393
Answer:
4y²/(x² -y²)
Step-by-step explanation:
The expression simplifies as follows: