Skills Handbook - Evaluating and Simplifying Expressions - Exercises - Page 890: 25

$1-2r+r^2$

We start with the given expression: $(1-r)^2$ To simplify an algebraic expression, we must eliminate any parentheses and combine like terms. We expand the squared term:$(1-r)(1-r)$ We apply the distributive property to multiply the binomials: $1-r-r+r^2$ We combine the like terms by subtracting: $1-2r+r^2$