4) Show that (a+b)² + (a-b)² = 2(a²+b²)
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Answer:
(a+b)² + (a-b)²
(a²+ b²+2ab) + (a²+ b² - 2ab)
a²+b²+2ab+a²+b²-2ab
a²+a²+b²+b²+2ab-2ab
2a²+2b²
2(a²+b²)
(a+b)²+(a-b)²=2(a²+b²)
proved
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