Question

if (a + b)² = 2a² + 2b², prove that a = b​

Answer 1

Answer:

refer to the attachment for better understanding

Step-by-step explanation:

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Answer 2

Solution:-

→ (a+b)² = 2a²+2b²

→ a²+b²+2ab = 2a²+2b²

→ 2ab = 2a²-a²+2b²-b²

→ 2ab = a²+b²

→ 0 = a²+b²-2ab

→ a²+b²-2ab = 0

→ (a-b)² = 0

By Squaring On Both Sides

→ √(a-b)² = 0²

→ a-b = 0

☞ a = b

Therefore, Hence Proved

$\Large{✓}$

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