Verify the given polynomial identity a^2 - b^2 = (a-b) (a+b)

Kikon asked Nov 7, 2022

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43 votes

Verify the given polynomial identity

a^2 - b^2 = (a-b) (a+b)

Kikon asked Nov 7, 2022

by Kikon

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19 votes

Answer:

$(a - b)(a + b) \\ a(a + b) - b(a + b) \\ {a}^(2) + ab - ab - {b}^(2) ( + ab \: and \: - ab \: cancel) \\ {a}^(2) - b ^(2)$

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Nick Farina answered Nov 11, 2022

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