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Simplify the expression:

[tex]\[ (2p^3 - 5pq^2 + 7pq) + (11p^2q - 4pq - 3) \][/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's solve the expression step by step.

We need to simplify and combine the two expressions:
[tex]\[ \left(2p^3 - 5pq^2 + 7pq\right) + \left(11p^2q - 4pq - 3\right) \][/tex]

First, let's rewrite the expression for clarity:
[tex]\[ 2p^3 - 5pq^2 + 7pq + 11p^2q - 4pq - 3 \][/tex]

Next, let's combine like terms. We will group the terms with the same powers of [tex]\( p \)[/tex] and [tex]\( q \)[/tex].

1. Combine terms with [tex]\( p^3 \)[/tex]:
[tex]\[ 2p^3 \][/tex]

2. Combine terms with [tex]\( p^2q \)[/tex]:
[tex]\[ 11p^2q \][/tex]

3. Combine terms with [tex]\( pq^2 \)[/tex]:
[tex]\[ -5pq^2 \][/tex]

4. Combine terms with [tex]\( pq \)[/tex]:
[tex]\[ 7pq - 4pq = 3pq \][/tex]

5. Constant term:
[tex]\[ -3 \][/tex]

Now, putting it all together, we get:
[tex]\[ 2p^3 + 11p^2q - 5pq^2 + 3pq - 3 \][/tex]

So, the simplified expression is:
[tex]\[ 2p^3 + 11p^2q - 5pq^2 + 3pq - 3 \][/tex]

This is the final result after combining like terms from the original expression.
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