Question

Simplify : x/x - y - y/x + y

Answer 1

x(x-y)-y(y-x)

Final result :

(y - x) • (x + y)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(x • (x - y)) - y • (y - x)

Step 2 :

Equation at the end of step 2 :

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Answer 2

Step-by-step explanation:

{x/(x-y)}-{y/(x+y)}

taking lcm

{x(x+y)-y(x-y)}/x^2-y^2

=(x^2+xy-xy-y^2)/x^2-y^2

=(x^2-y^2)/x^2-y^2

=1

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