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Simplify (a + b)² - (a - b)²
Published on October 12, 2024
Algebra
Simplify the algebraic expression (a + b)² - (a - b)² using the difference of squares pattern. The solution reveals a simplified expression of 4ab.
Question
simplify it
Answer
Let’s simplify the expression step-by-step:
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Expand the squares:
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Substitute the expanded forms back into the original expression:
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Distribute the negative sign:
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Combine like terms:
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Therefore, the simplified expression is:
$ (a + b)^2 - (a - b)^2 = \boxed{4ab} $
$ (a + b)^2 - (a - b)^2 = \boxed{4ab} $