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

Question

asked Nov 9, 2022 99.0k views

2 Answers

Sharda · Answer 1 · 2022-11-15T12:57:08+0000

Answer:

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:

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