Question

which is the factored form of $x(w - 1)+(w - 1)$?
a. $x(w - 1)$
b. $x(w - 1)^2$
c. $(x + 1)(w - 1)$
d. $(x + 1)(w - 1)^2$

Explanation:

Step1: Identify common factor

The expression $x(w-1)+(w-1)$ has a common factor of $(w-1)$.

Step2: Factor out the common term

Factor $(w-1)$ from both terms:
$(w-1)(x + 1)$

Answer:

C. $(x + 1)(w - 1)$