Important Algebraic Identities
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(a + b)2 = a2 + 2ab + b2
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(a – b)2 = a2 – 2ab + b2
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a2 – b2 = (a + b)(a – b)
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(a + b)3 = a3 + b3 + 3ab(a+b)
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(a – b)3 = a3 – b3 – 3ab(a-b)
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(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
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a3 + b3 + c3 – 3abc = (a+b+c)(a2 + b2 + c2 -ab – bc -ca)
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a3 – b3 = (a-b)(a2 + ab + b2)
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a3 + b3 = (a+b)(a2 – ab + b2)
Last updated on:
15-06-2024
