Answer:
the equivalent expression is: [tex]4p^2+8pq-3q^2[/tex]
Step-by-step explanation:
we are given the expression as: [tex](3p^2+5pq-q^2)+(p^2+3pq-2q^2)[/tex]
we will firstly combine the terms with same variable term and than apply the corresponding addition or subtraction on its coefficient to get the desired result.
=[tex]=3p^2+p^2+5pq+3pq-q^2-2q^2\\=(3+1)p^2+(5+3)pq+(-1-2)q^2\\=4p^2+8pq-3q^2[/tex]
Hence, the desired answer is: [tex]4p^2+8pq-3q^2[/tex].
