Question

Conjecture: The product of a number (x - 1) and the number (x + 1) is always equal to ENTER ANSWER HERE

Answer 1

Answer:

x² - 1

Step-by-step explanation:

The product

(x - 1)(x + 1)

= x(x + 1) - 1(x + 1) ← distribute both parenthesis

= x² + x - x - 1 ← collect like terms

= x² - 1