Question

Find the coefficient of third term of (x + 2)³. A. 40 OB. 10 OC. 20 D. 80 Reset Selection A

Answer 1

Given:

The expression given is,

`\left(x+2\right)^5`

Required:

To find the coefficient of the third term.

Step-by-step explanation:

Let us expand the expression to find the coefficient.

`\begin{gathered} \left(x+2\right)^5 \\ =(5!)/(5!)x^52^0+(5!)/(4!)x^42^1+(5!)/(2!3!)x^32^2+(5!)/(3!2!)x^22^3+(5!)/(4!1!)x^12^4+(5!)/(5!0!)x^02^5 \\ =x^5+10x^4+40x^3+80x^2+80x+32 \end{gathered}`

Hence, the coefficient of the third term is 40.

Final Answer:

The coefficient of the third term is 40.

Option A is correct.