# Add the following two terms given below

$3{p^2}{q^2} - 4pq + 5, - 10{p^2}{q^2}\& 15 + 9pq + 7{p^2}{q^2}$

Answer

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Hint: - Separate the like terms together in order to solve the problem given above.

Given terms are:$3{p^2}{q^2} - 4pq + 5, - 10{p^2}{q^2}\& 15 + 9pq + 7{p^2}{q^2}$

By addition of these 3 terms we get:

$

\Rightarrow \left( {3{p^2}{q^2} - 4pq + 5} \right) + \left( { - 10{p^2}{q^2}} \right) + \left( {15 + 9pq + 7{p^2}{q^2}} \right) \\

\Rightarrow {p^2}{q^2}\left( {3 - 10 + 7} \right) + pq\left( {9 - 4} \right) + 5 + 15 \\

\Rightarrow {p^2}{q^2}\left( 0 \right) + pq\left( 5 \right) + 20 \\

\Rightarrow 5pq + 20 \\

$

Hence, the sum of terms given above is $5pq + 20$.

Note: - In order to solve the problem of addition of terms with variables mostly we rearrange the terms with common variables and add them separately, in a few questions where we have to prove the R.H.S. side we need to keep in mind the terms on the other side as well in order to obtain the desired result.

Given terms are:$3{p^2}{q^2} - 4pq + 5, - 10{p^2}{q^2}\& 15 + 9pq + 7{p^2}{q^2}$

By addition of these 3 terms we get:

$

\Rightarrow \left( {3{p^2}{q^2} - 4pq + 5} \right) + \left( { - 10{p^2}{q^2}} \right) + \left( {15 + 9pq + 7{p^2}{q^2}} \right) \\

\Rightarrow {p^2}{q^2}\left( {3 - 10 + 7} \right) + pq\left( {9 - 4} \right) + 5 + 15 \\

\Rightarrow {p^2}{q^2}\left( 0 \right) + pq\left( 5 \right) + 20 \\

\Rightarrow 5pq + 20 \\

$

Hence, the sum of terms given above is $5pq + 20$.

Note: - In order to solve the problem of addition of terms with variables mostly we rearrange the terms with common variables and add them separately, in a few questions where we have to prove the R.H.S. side we need to keep in mind the terms on the other side as well in order to obtain the desired result.

Last updated date: 02nd Jun 2023

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