Respuesta :
Answer:
The fifth term is the middle term of nine, with coefficient given by all the ways of choosing 4 items out of 8 , namely the ways of choosing 4 a 's out of 8 binomial factors.
Step-by-step explanation:
The third term of the expansion is 56a⁵b³
How to determine the third term?
The expression is given as:
(a + b)^8
The above expression is a binomial expression, and the nth term of the expression is:
(a + b)^n = nCr * a^(n - k) * (b)^k
Where k = 0, 1, 2.....
So,we have:
(a + b)⁸ = ⁸C₃ * a⁸⁻³ * b³
Evaluate the combination expression
(a + b)⁸ = 56a⁵b³
Hence, the third term of the expansion is 56a⁵b³
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