a ( x + y ) + b ( x - y ) = a2 - ab + b2

a ( x + y ) - b ( x - y ) = a2 ab + b2

Hi!
Here is the answer to your question.
 
The given system of equations is
a(x + y) + b(x – y) = a2ab + b2
ax + ay + bx by = a2ab + b2
⇒ (a + b) x + (a – b) y = a2ab + b2  … (1)
 
a(x + y) – b(x – y) = a2 + ab + b2
ax + ay – bx + by = a2 + ab + b2
⇒ (a – b) x + (a + b) y = a2 + ab + b2  … (2)
 
Multiplying (1) by (a + b) and (2) by (a – b), we get
 
 
Cheers!

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