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

Question

asked May 3, 2022 222k views

2 Answers

Fenollp · Answer 1 · 2022-05-05T08:20:18+0000

Answer:

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

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.

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