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Popular >

expand (b+e+f)^5

Solution

expand

(b + e + f)^{5}

Solution

f^{5} + 5 e f^{4} + 5 b f^{4} + 10 e^{2} f^{3} + 10 b^{2} f^{3} + 20 e b f^{3} + 10 e^{3} f^{2} + 10 b^{3} f^{2} + 30 e b^{2} f^{2} + 30 e^{2} b f^{2} + 5 e^{4} f + 5 b^{4} f + 20 e b^{3} f + 30 e^{2} b^{2} f + 20 e^{3} b f + e^{5} + b^{5} + 5 e b^{4} + 10 e^{2} b^{3} + 10 e^{3} b^{2} + 5 e^{4} b

Solution steps

(b + e + f)^{5}

(b + e + f)^{5} = (b + e + f) (b + e + f) (b + e + f) (b + e + f) (b + e + f)

= (f + b + e) (f + b + e) (f + b + e) (f + b + e) (f + b + e)

Expand

(b + e + f) (b + e + f) (b + e + f) (b + e + f) (b + e + f) : f^{5} + 5 e f^{4} + 5 b f^{4} + 10 e^{2} f^{3} + 10 b^{2} f^{3} + 20 e b f^{3} + 10 e^{3} f^{2} + 10 b^{3} f^{2} + 30 e b^{2} f^{2} + 30 e^{2} b f^{2} + 5 e^{4} f + 5 b^{4} f + 20 e b^{3} f + 30 e^{2} b^{2} f + 20 e^{3} b f + e^{5} + b^{5} + 5 e b^{4} + 10 e^{2} b^{3} + 10 e^{3} b^{2} + 5 e^{4} b

= f^{5} + 5 e f^{4} + 5 b f^{4} + 10 e^{2} f^{3} + 10 b^{2} f^{3} + 20 e b f^{3} + 10 e^{3} f^{2} + 10 b^{3} f^{2} + 30 e b^{2} f^{2} + 30 e^{2} b f^{2} + 5 e^{4} f + 5 b^{4} f + 20 e b^{3} f + 30 e^{2} b^{2} f + 20 e^{3} b f + e^{5} + b^{5} + 5 e b^{4} + 10 e^{2} b^{3} + 10 e^{3} b^{2} + 5 e^{4} b

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Frequently Asked Questions (FAQ)

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