IzzyLucero24 IzzyLucero24

10-05-2017
Mathematics

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Which expression represents the 4th term in the binomial expansion of (e+2f)^10

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LammettHash LammettHash

10-05-2017

The answer depends on what is meant by the "fourth term". By the binomial theorem, one answer could be

[tex]\dbinom{10}3e^3(2f)^{10-3}=120e^3(2f)^7=15360e^3f^7[/tex]

By symmetry, another could be

[tex]\dbinom{10}3(2f)^3e^{10-3}=960e^7f^3[/tex]

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