Question

Simplify (x − 4)(x2 − 2x − 3).

Answer 1

So you can distribute x and then -4.

Start with x, that would be

x²·x - 2x·x - 3x

x³ - 2x² - 3x

Now distribute -4.

-4x² + 8x + 12

Now put them together:

x³ - 2x² - 3x + (-4x² + 8x + 12)

Combine like terms:

x³ - 6x² + 5x + 12

Final answer: x³ - 6x² + 5x + 12

Hope this helps.