Question

simplify (a + b) ^ 2 + (a - b) ^ 2

plz give the answer step by step
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Answer 1

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Answer 2

Answer:

2(a²+b²)

Step-by-step explanation:

the given expression is

(a+b) ² + (a-b)²

using algebra formula

(a+b) ² + (a-b) ² = ( a² + 2ab + b²) + ( a² - 2ab + b²)

combine like terms

(a+b) ² + ( a-b) ² = (a²+a²) + (2ab-2ab) + ( b² + b²)

(a+b)² + (a-b)² = 2a² + 0 + 2b²

(a+b)² + (a-b)² = 2 ( a² + b² )

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