Some Basic Formulae:
i.
(a + b)(a - b)
= (a2 - b2)
ii.
(a + b)2 = (a2 + b2 + 2ab)
iii.
(a - b)2 = (a2 + b2 - 2ab)
iv.
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
v.
(a3 + b3) = (a + b)(a2 - ab + b2)
vi.
(a3 - b3) = (a - b)(a2 + ab + b2)
vii.
(a3 + b3 + c3 - 3abc) = (a + b + c)(a2 + b2 + c2 - ab - bc - ac)
viii.
When a + b + c = 0, then a3 + b3 + c3 = 3abc.
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Description : Some Basic Formulae: i. ( a + b )( a - b ) = ( a 2 - b 2 ) ii. ( a + b ) 2 = ( a 2 + b...
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