Question

What is the correct expansion for (x+8)^2

Answer 1

x² + 16x + 64

Explanation:

that is the answer I think

Answer 2

Answer: x² + 16x + 64

Explanation:

`{(x + 8)}^(2)`

double the brackets, to remove the power:

`= (x + 8)(x + 8)`

open the brackets:

Generally:

`{ \boxed{(a + b)(a + b) = {a}^(2) + 2ab + {b}^(2) }}`

from our equation given;

a » x

b » 8

substitute in the equation in the box:

`(x + 8)(x + 8) = {x}^(2) + \{ 2(x)(8) \} + {(8 )}^(2) \\ \\ = {x}^(2) + 16x + 64`