Question

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

A. 60x4
B. 15x4
C. 20x3
D. 80x3

Answer 1

When you expand (x+2)^6, you would get

`x^6+12x^5+60x^4+160x^3+240x^2+192x+64`.
The third term is
`60x^4`, so your answer would be
`60x^4`

Answer 2

A. 60x^4

Step-by-step explanation:

(x+2)^6=((x+2)^3)^2

= (x³+2³+6x²+12x)^2

= (x³+8+6x²+12x)^2

= (x³+8)^2+(6x²+12x)^2+2(x³+8)(6x²+12x)

= x^6+64+16x³+36x^4+144x²+144x³+2(6x^5+12x^4+48x²+96x)

= x^6+12x^5+60x^4+16x³+240x²+192x+64

the third term of the expansion is 60x^4

hence, answer is A. 60x^4