Question

# Add the following:$2{p}^{2}{q}^{2}-3pq+4,5+7pq-3{p}^{2}{q}^{2}$

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Solution

## Adding the given relationsOn combining the like terms and adding them we get$⇒2{p}^{2}{q}^{2}-3pq+4+5+7pq-3{p}^{2}{q}^{2}\phantom{\rule{0ex}{0ex}}=2{p}^{2}{q}^{2}–3{p}^{2}{q}^{2}–3pq+7pq+4+5\phantom{\rule{0ex}{0ex}}=–{p}^{2}{q}^{2}+4pq+9$Hence, On adding $2{p}^{2}{q}^{2}-3pq+4,5+7pq-3{p}^{2}{q}^{2}$ we get $-{p}^{2}{q}^{2}+4pq+9$.

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