Question

(a+b)⁸; The 5th Term will contain a?b?.​

Answer 1

Answer:

$70a^4b^4$

Step-by-step explanation:

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 4a's out of 8 binomial factors.

$( \frac{8}{4} )a {}^{4} b {}^{4} = \frac{8.}{4.4.} a {}^{4} b {}^{4}$

$= ( \frac{8 \times 7 \times 6 \times 5}{4 \times 3 \times 2 \times 1} )a {}^{4} b {}^{4}$

$= \frac{1680}{24} {a}^{4} {b}^{4}$

$= 70 {a}^{4} {b}^{4}$