Coefficient of a32 in the expansion of a4 - 1a315 is

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Binomial Coefficients

Coefficient o...

Question

Coefficient of $a^{32}$ in the expansion of $(a^{4} - \frac{1}{a^{3}})^{15}$ is

^{15} C_{4}

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-^{15} C_{4}

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^{15} C_{3}

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Coefficient of a32 in the binomial expansion of ${(a^{4} - \frac{1}{a^{3}})}^{15}$ is:

a_{1}, a_{2}, a_{3}, a_{4}

a_{1} + a_{2} + a_{3} + a_{4} = 0

a_{1}^{2} + a_{2}^{2} + a_{3}^{2} + a_{4}^{2} = 1

(a_{1} - a_{2})^{2} + (a_{2} - a_{3})^{2} + (a_{3} - a_{4})^{2} + (a_{4} - a_{1})^{2}

a^{4} b^{3} c^{2} d

{(a - b + c - d)}^{10}

a_{0}, a_{1}, a_{2}, a_{3} . . . .

(1 + x + x^{2})^{n}

a_{0}^{2} - a_{1}^{2} + a_{2}^{2} - a_{3}^{2} + . . . . . + (- 1)^{n - 1} a_{n - 1}^{2} = \frac{1}{2} a_{n} {1 - (- 1)^{n} a_{n}}

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