Answer:
m(x) = x² + 10x + 15
Explanation:
Rewrite m(x) = (3x-1)(3-x) + 4x² + 18 as a trinomial (three-term equation) by simplifying the equation. Expand the brackets by multiplying the binomials and collect like terms.
m(x) = (3x-1)(3-x) + 4x² + 18 Multiply brackets with terms FOIL (first, outside, inside, last)
m(x) = (9x - 3x² - 3 + x) + 4x² + 18 The brackets can be removed
m(x) = 9x - 3x² - 3 + x + 4x² + 18 See what terms have the same variables
m(x) = -3x² + 4x² + 9x + x + 18 - 3 Like terms are rearranged together
m(x) = x² + 10x + 15 Collected like terms