Question

How do you multiply `(-3u+3)(u^3-1)`?

Answer 1

See the entire solution process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

`(color(red)(-3u) + color(red)(3))(color(blue)(u^3) - color(blue)(1))` becomes:

`(color(red)(-3u) xx color(blue)(u^3)) + (color(red)(-3u) xx color(blue)(-1)) + (color(red)(3) xx color(blue)(u^3)) + (color(red)(3) xx color(blue)(-1))`

`-3u^4 + 3u + 3u^3 - 3`

`-3u^4 + 3u^3 + 3u - 3`

Answer 2

`-3u^4+3u^3+3u-3`

Explanation:

Each term in the second bracket must be multiplied by each term in the first bracket. This is demonstrated below.

`(color(red)(-3u+3))(u^3-1)`

`=color(red)(-3u)(u^3-1)color(red)(+3)(u^3-1)`

distribute brackets and simplify.

`=-3u^4+3u+3u^3-3`

`=-3u^4+3u^3+3u-3larrcolor(red)" in standard form"`