if 1/x+y=1/x+1/y (x≠0,y≠0,z≠y) then, find the value of x³-y³?
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Answered by
12
Hi,
Here's the solution :-
1/(x+y) = 1/x + 1/y
=> 1/ (x + y) = (x + y)/xy
=>( x+y)^2 = xy
=> x^2 + y^2 + 2xy = xy
=> x^2 + xy + y^2 = 0
According to question,
x^3 - y^3
= (x - y)( x^2 + xy + y^2)
= (x - y) x 0
= 0
Hope that you are clear ^_^
Here's the solution :-
1/(x+y) = 1/x + 1/y
=> 1/ (x + y) = (x + y)/xy
=>( x+y)^2 = xy
=> x^2 + y^2 + 2xy = xy
=> x^2 + xy + y^2 = 0
According to question,
x^3 - y^3
= (x - y)( x^2 + xy + y^2)
= (x - y) x 0
= 0
Hope that you are clear ^_^
Answered by
3
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