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17 March, 11:58

Find the 8th term in the expansion (x^2 - 9) ^9.

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  1. 17 March, 12:25
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    -172,186,884x^4.

    Step-by-step explanation:

    The (r + 1) th term of (a + b) ^n = nCr a^ (n-r) b^r.

    So the 8th term of (x^2 - 9) ^9 =

    (7 + 1) th term

    = 9C7 (x^2) ^ (9-7) (-9) ^7

    = 36 * (x^2) ^2 * - 4782969

    = - 172186884x^4.
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