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

Question

(𝑥 − 3)(𝑥 + 2).

Answer 1

Using the distributive property:

(𝑥 − 3)(𝑥 + 2) = 𝑥(𝑥 + 2) − 3(𝑥 + 2)

= 𝑥² + 2𝑥 − 3𝑥 − 6

= 𝑥² − 𝑥 − 6

Therefore, the expanded and simplified product of (𝑥 − 3)(𝑥 + 2) is 𝑥² − 𝑥 − 6.