Multiply to simplify the polynomial expression (r−1)(r2−2r+3).

Answer 1

To simplify the expression, we will use the distributive property to multiply the two binomials.

First, we multiply r by each term inside the second parentheses:
(r)(r^2) = r^3
(r)(-2r) = -2r^2
(r)(3) = 3r

Next, we multiply -1 by each term inside the second parentheses:
(-1)(r^2) = -r^2
(-1)(-2r) = 2r
(-1)(3) = -3

Combining like terms, we get:
r^3 - 2r^2 + 3r - r^2 + 2r - 3

Simplifying further, we get:
r^3 - 3r^2 + 5r - 3

So the simplified polynomial expression is r^3 - 3r^2 + 5r - 3.