Answer
$$9r^{2}+19$$
Work Step by Step
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:
$$9r^{2}+19$$
