1.

N(a-b) is equal to algebra​

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Factors and expansions: a, b real; n positive INTEGER

(a + b)2 = a2 + 2ab + b2

(a + b)3 = a3 + 3A2B + 3ab2+ b3

(a + b)4 = A4 + 4a3b + 6a2b2 + 4ab3 + b4

a2 - b2 = (a - b)(a + b)

a2 + b2 = (a - bi)(a + bi)

a3 - b3 = (a - b)(a2 + ab + b2)

a3 + b3 = (a + b)(a2 - ab + b2)

a4 + b4 = (a2 + √2ab + b2)(a2 - √2ab + b2)

an - bn = (a - b)(an-1 + an-2b + ... + bn-1), for n even

an + bn = (a + b)(an-1 - an-2b - ... - bn-1), for n odd



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