e) ax - by=a²-b²
x - y =2b.
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Step-by-step explanation:
We have,
x-y=2b and ax-by=a^2+b^2.......1
x=y+2b
Putting, x=y+2ab we get in eq 1
a(y+2b)-by=a^2+b^2
ay+2ab-by=a^2+b^2
ay-by=a^2+b^2-2ab
y(a-b)=(a-b)^2
y=a-b
Then,
x=y+2b
x=a-b+2b
x=a+b
Therefore,x=a+b and y=a-b
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