Question

what is the result of multiplying $(x + 1)$ and $(x - 1)$ using any method?
a. $x^2 - x + 1$
b. $x^2 + x - 1$
c. $2x^2 - 1$
d. $x^2 - 1$

Explanation:

Step1: Apply distributive property

$(x+1)(x-1) = x(x-1) + 1(x-1)$

Step2: Expand each term

$= x^2 - x + x - 1$

Step3: Combine like terms

$= x^2 - 1$

Answer:

d. $x^2 - 1$