Question

Which is equivalent to the following expression? (3p^2+5pq-q^2)+(p^2+3pq-2q^2)

Answer 1

the answer is 4p^2+8pq-3q^2

Answer 2

the equivalent expression is:
`4p^2+8pq-3q^2`

Explanation:

we are given the expression as:
`(3p^2+5pq-q^2)+(p^2+3pq-2q^2)`

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.

=
`=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`

Hence, the desired answer is:
`4p^2+8pq-3q^2`.