solve by elimination method
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Answer:
(a-b) (x-y) =a^2+b^2
L.H.S =( a+b) (a-b)
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⭐Solution ⭐
➡(a−b)x+(a+b)y=a^2 −2ab−b^2 ----- (i)
(a+b)(x+y)=a^2 +b^2 -------- (ii)
Subtracting eq (i) by eq (ii), we get
⇒(a−b)x−(a+b)x=a^2−2ab−b^2−a^2−b^2
⇒−2bx= −2bx(a+b)
⇒x=(a+b)
∴(a+b)(a+b+y)=a^2+b^2
⇒(a+b)^2+(a+b)y=a^2 +b^2
⇒y= −2ab/(a+b) (Answer )
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