Question

Expand the function. f(x)=(x + 7)^3

Answer 1

`f(x) = {x}^(3) + 21 {x}^(2) + 147x + 343`

Explanation:

`(x + 7 {)}^(3)`

`{x}^(3) + 3 {x}^(2) * 7 + 3x * {7}^(2) + {7}^(3)`

`{x}^(3) + {x}^(2) * 7 + 3x * 49 + 343`

`{x}^(3) + 21 {x}^(2) + 147x + 343`

Therefore:

`f(x) = {x}^(3) + 21 {x}^(2) + 147x + 343`