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Class-8»Maths

what is the formulae of

1. (a+b+c)whole cube

2. 'A'cube+'b'cube+'c'cube

${(a + b + c)}^{3} = [(a + b + c) (a + b + c)] (a + b + c) = [a (a + b + c) + b (a + b + c) + c (a + b + c)] (a + b + c) = (a^{2} + a b + a c + a b + b^{2} + b c + a c + b c + c^{2}) (a + b + c) {(a + b + c)}^{3} = (a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 c a) (a + b + c) {(a + b + c)}^{3} = a (a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 c a) + b (a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 c a) + c (a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 c a) {(a + b + c)}^{3} = a^{3} + a b^{2} + a c^{2} + 2 a^{2} b + 2 a b c + 2 c a^{2} + a^{2} b + b^{3} + b c^{2} + 2 a b^{2} + 2 b^{2} c + 2 a b c + a^{2} c + b^{2} c + c^{3} + 2 a b c + 2 b c^{2} + 2 c^{2} a {(a + b + c)}^{3} = a^{3} + b^{3} + c^{3} + 3 a^{2} b + 3 c a^{2} + 3 a b^{2} + 3 b^{2} c + 6 a b c + 3 b c^{2} + 3 c^{2} a a n d a^{3} + b^{3} + c^{3} = {(a + b + c)}^{3} - (3 a^{2} b + 3 c a^{2} + 3 a b^{2} + 3 b^{2} c + 6 a b c + 3 b c^{2} + 3 c^{2} a)$

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