Answer:
[tex]-5p^2-9pq+17q^2[/tex]
Step-by-step explanation:
[tex](p-4q) (3p+q) - (2p+3q) (4p-7q)\\\\\mathrm{Expand}\:\left(p-4q\right)\left(3p+q\right):\quad 3p^2-11pq-4q^2\\=3p^2-11pq-4q^2-\left(2p+3q\right)\left(4p-7q\right)\\\\\mathrm{Expand}\:-\left(2p+3q\right)\left(4p-7q\right):\quad -8p^2+2pq+21q^2\\=3p^2-11pq-4q^2-8p^2+2pq+21q^2\\\\\mathrm{Simplify}\:3p^2-11pq-4q^2-8p^2+2pq+21q^2:\\\quad -5p^2-9pq+17q^2[/tex]
