Question

(c+8)^3
please help me

Answer 1

`c^(3) + 24 {c}^(2) + 192c + 512`

Explanation:

Expand the expression

`(c + 8)(c + 8)(c + 8) \\ = {c}^(3) + 3 {c}^(2) * 8 + 3c * {8}^(2) + {8}^(3) \\ = {c}^(3) + 24 {c}^(2) 3c * 64 + 512 \\ = {c}^(3) + 24 {c}^(2) + 192c + 512`

Answer 2

c³ + 24c² + 192c + 512

Explanation:

(c + 8)³

= (c + 8)(c + 8)(c + 8) ← expand last 2 factors using FOIL

= (c + 8)(c² + 16c + 64)

Multiply each term in the second factor by each term in the first factor

c(c² + 16c + 64) + 8(c² + 16c + 64) ← distribute parenthesis

= c³ + 16c² + 64c + 8c² + 128c + 512 ← collect like terms

= c³ + 24c² + 192c + 512