Question

Expand the following expression
(x + 2)(x² – 3x - 1)

Answer 1

`{x}^(3) - {x}^(2) - 7x - 2`

Explanation:

`(x + 2)( {x}^(2) - 3x - 1)`

Multiply the first term.

`x * {x}^(2) = {x}^(3)`

Multiply x by everything on the right, dont do x squared we already done that.

`x * - 3x = - 3 {x}^(2)`

`x * - 1 = - x`

Multiply 2 by everything on the left expect -1. ( that our next step).

`2 * {x}^(2) = 2 {x}^(2)`

`2 * - 3x = - 6x`

Multiply the last term, 2 and -1.

`2 * - 1 = - 2`

Add like with like.

`{x}^(3) - {x}^(2) - 7x - 2`

Answer 2

`x^(3) - x^(2) - 7x -2`

Explanation:

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