(a + b)² + (a - b)² = _____?
- a² + b²
- 2a² + 2b²
- a² - b²
- None of these
Explanation
Let's expand both expressions:
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
Now, add them:
(a + b)² + (a - b)² = a² + 2ab + b² + a² - 2ab + b²
= 2a² + 2b²
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