Expand and simplify the following product, using the distributive property:

Question

(𝑥 − 3)(𝑥 + 2).

Answer 1

Using the distributive property, we get:

(𝑥 − 3)(𝑥 + 2) = 𝑥(𝑥) + 𝑥(2) − 3(𝑥) − 3(2)

Simplifying, we get:

𝑥² + 2𝑥 − 3𝑥 − 6

Combining like terms:

𝑥² − 𝑥 − 6

Therefore, (𝑥 − 3)(𝑥 + 2) = 𝑥² − 𝑥 − 6.