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Find the 4th terms in (a + b)^8.

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JHockey | eNoter

Posted September 11, 2013 at 7:28 PM via web

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Find the 4th terms in (a + b)^8.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 11, 2013 at 7:38 PM (Answer #1)

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The fourth term of the expansion (a + b)^8 has to be determined.

The binomial expansion gives: `(a + b)^n = sum_(k = 0)^n C(n,k)x^(n-k)*b^k`

The fourth term of (a + b)^8 = C(8, 3)*a^5*b^3 = 56a^5b^3

The 4th term of (a + b)^8 is 56a^5b^3

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