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Popular >

expand (a+b+c+d+e)^3

Solution

expand

(a + b + c + d + e)^{3}

Solution

a^{3} + 3 e a^{2} + 3 a^{2} b + 3 a^{2} c + 3 a^{2} d + 3 e^{2} a + 3 a b^{2} + 6 e ab + 3 a c^{2} + 6 e a c + 6 ab c + 3 a d^{2} + 6 e a d + 6 ab d + 6 a c d + e^{3} + b^{3} + 3 e b^{2} + 3 e^{2} b + c^{3} + 3 b c^{2} + 3 e c^{2} + 3 e^{2} c + 3 b^{2} c + 6 e b c + d^{3} + 3 b d^{2} + 3 c d^{2} + 3 e d^{2} + 3 e^{2} d + 3 b^{2} d + 6 e b d + 6 b c d + 3 c^{2} d + 6 ec d

Solution steps

(a + b + c + d + e)^{3}

(a + b + c + d + e)^{3} = (a + b + c + d + e) (a + b + c + d + e) (a + b + c + d + e)

= (a + b + c + d + e) (a + b + c + d + e) (a + b + c + d + e)

Expand

(a + b + c + d + e) (a + b + c + d + e) (a + b + c + d + e) : a^{3} + 3 e a^{2} + 3 a^{2} b + 3 a^{2} c + 3 a^{2} d + 3 e^{2} a + 3 a b^{2} + 6 e ab + 3 a c^{2} + 6 e a c + 6 ab c + 3 a d^{2} + 6 e a d + 6 ab d + 6 a c d + e^{3} + b^{3} + 3 e b^{2} + 3 e^{2} b + c^{3} + 3 b c^{2} + 3 e c^{2} + 3 e^{2} c + 3 b^{2} c + 6 e b c + d^{3} + 3 b d^{2} + 3 c d^{2} + 3 e d^{2} + 3 e^{2} d + 3 b^{2} d + 6 e b d + 6 b c d + 3 c^{2} d + 6 ec d

= a^{3} + 3 e a^{2} + 3 a^{2} b + 3 a^{2} c + 3 a^{2} d + 3 e^{2} a + 3 a b^{2} + 6 e ab + 3 a c^{2} + 6 e a c + 6 ab c + 3 a d^{2} + 6 e a d + 6 ab d + 6 a c d + e^{3} + b^{3} + 3 e b^{2} + 3 e^{2} b + c^{3} + 3 b c^{2} + 3 e c^{2} + 3 e^{2} c + 3 b^{2} c + 6 e b c + d^{3} + 3 b d^{2} + 3 c d^{2} + 3 e d^{2} + 3 e^{2} d + 3 b^{2} d + 6 e b d + 6 b c d + 3 c^{2} d + 6 ec d

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Frequently Asked Questions (FAQ)

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