if 2 (a2 - b2) = (a-b)2 then show that a+b=0
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if 2(a2+b2)=(a+b)2,then show that a=b
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Answer:
Correction, the question must be 2 (a² + b²) = (a-b) ²
Step-by-step explanation:
2(a² + b²) = (a-b) ²
(a-b) ² = a² + b² - 2ab
2a² + 2b² = a² + b² - 2ab
2a² - a² + 2b² - b² = - 2ab
a² + b² = - 2ab
(a + b)² = a² + b² + 2ab
a² + b² = - 2ab → (a + b)²
a² + b² + 2ab
2ab + 2ab
0
(a + b)² = 0²
a + b = 0
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