## Precalculus (6th Edition)

$$9r^{2}+19$$
nitial equation: $2(3r^{2}+4r+2)-3(−r^{2}+4r−5)$ First, distribute the $2$ to the first set of parenthesis, and the $-3$ to the second: $$6r^{2}+12r+4+3r^{2}-12r+15$$ Then combine like terms to arrive at the final answer: $$9r^{2}+19$$