Question 198235
*[Tex \LARGE 3\left\[ 2p^2-q(3p+4q) \right\] - 2\left\[ 4q^2-3p(p-2q) \right\] ] ... Start with the given expression.



*[Tex \LARGE 3\left\[ 2p^2-3pq-4q^2 \right\] - 2\left\[ 4q^2-3p^2+6pq \right\] ] ... Distribute



*[Tex \LARGE 6p^2-9pq-12q^2 - 8q^2+6p^2-12pq ] ... Distribute again



*[Tex \LARGE 12p^2-21pq-20q^2 ] ... Combine like terms.



So *[Tex \LARGE 3\left\[ 2p^2-q(3p+4q) \right\] - 2\left\[ 4q^2-3p(p-2q) \right\] = 12p^2-21pq-20q^2]