Question

If `w( a ) = - 3a ^ { 2} - 3a` what is `w(x+3)`?

Answer 1

`w(x + 3) = -3x^2 - 21x - 36`

Explanation:

To solve this problem you must substitute `x + 3` for every occurrence of `a` in the given formula:

`w(x + 3) = -3(x + 3)^2 - 3(x + 3)`

`w(x + 3) = -3(x + 3)(x + 3) - 3x - 9`

`w(x + 3) = -3(x^2 + 6x + 9) - 3x - 9`

`w(x + 3) = -3x^2 - 18x - 27 - 3x - 9`

`w(x + 3) = -3x^2 - 21x - 36`