(a+b)^2-(a-b)^2 simplyfy
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Answer:
( a + b )² - ( a - b )²
a² + 2ab + b² - a² - 2ab + b²
a² - a² + 2ab - 2ab + b² + b²
2b²
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Answered by
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The simplified form of the given expression is 2(a² + b).
The given expression is
(a + b)² + (a – b)²
Using algebraic formulas:
(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+ 26²
(a + b)² + (a – b)² = 2a² + 26²
(a + b)² + (a - b)² = 2(a² + b²)
Therefore the simplified form of the given expression is 2(a² + b²).
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