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a^2+b^2+2ab - a^2-b^2+ 2ab
4ab
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Solution:-
As you (should have) learned in algebra class:
(a+b)² = a² + 2ab + b² and (a-b)² = a² - 2ab + b².
Therefore (a+b)² - (a-b)² = (a² + 2ab + b²) - (a² - 2ab + b²).
Regrouping, we have (a+b)² - (a-b)² = (a²-a²) + (2ab-(-2ab)) + (b²-b²), which simplifies to 4ab.
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