Question

What is the fourth term in the expansion of (x + 2)6?

480x

168x4

160x3

120x3

Answer 1

Fourth term will be:

\[\huge T_4 = ^6C_3 \times (x)^3 \times (1)^3\]

Can you find its value??

Answer 2

whats t stand for and c

Answer 3

T is for 4rth term and C stands for combination..

Answer 4

the fourth term will be
\(\dbinom{6}{3}x^3\times 2^3\)
\[\dbinom{6}{6}=\frac{6\times 5\times 4}{3\times 2}=5\times 4=20\]
\[2^3=8\]
answer is \(8\times 20x^3=160x^3\)

Answer 5

\[\huge ^nC_r = \frac{n!}{(n-r)! \times r!}\]