Question

Factor Completely:

A) (b - c)^2 - 10(b - c)
B) (b - c)(b - c - 10)
C) b^2 - 2bc + c^2 - 10b + 10c
D) b^2 - 10b - c^2 - 10c

Answer 1

The expression (b - c)^2 - 10(b - c) can be factored completely as (b - c)(b - c - 10).

Step-by-step explanation:

The expression (b - c)^2 - 10(b - c) can be factored completely as follows:

(b - c)^2 - 10(b - c) = (b - c)(b - c) - 10(b - c)

Using the distributive property, we get:

(b - c)(b - c - 10)

Therefore, option B) (b - c)(b - c - 10) is the completely factored form of the expression.