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Agata [3.3K]
3 years ago
7

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

Mathematics
2 answers:
ioda3 years ago
8 0
The answer is 4p^2+8pq-3q^2
Neporo4naja [7]3 years ago
7 0

Answer:

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

Step-by-step 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.


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