complete the following identities: a2-b2 = ______
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a2-b2=(a+b)(a-b)
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Given: a² - b²
To Find: Completion of the identity.
Solution:
a² - b² = (a+b) (a-b)
Proof
(a + b) (a - b)
= a² - ab + ab - b²
Positive ab and negative ab get canceled. Thus, we have,
a² - b²
∴ a² - b² = (a + b) (a - b) [Proved]
Answer: a² - b² = (a + b) (a - b)
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