If a=a^2+b^2,b=a^2+2b^2 , then the value of a-b is ?
Answers 1
Explanation:
The value of 2(a
2
+b
2
)=(a+b)
2
is equal to:
2a
2
+2b
2
=a
2
+2ab+b
2
⇒2a
2
+2b
2
−a
2
−2ab−b
2
=0
⇒a
2
+b
2
−2ab=0
⇒(a−b)
2
=0
⇒a+b=0
⇒a=b.
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