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Chapter 5: Problem 6

In each case, simplify the given expression, if possible. \(8 p q+11 p q-9 p q\)

Short Answer

Expert verified
Question: Simplify the expression: \(8pq + 11pq - 9pq\) Answer: The simplified expression is \(10pq\).

Step by step solution

01

Identify the like terms

In the given expression, \(8pq\), \(11pq\), and \(-9pq\) are the like terms, as they all have the same variables, p and q with the same powers.
02

Combine the like terms

To combine the like terms, add (or subtract) their coefficients. So, we need to calculate \(8+11-9\): \(8+11-9=10\)
03

Write the simplified expression

Multiply the combined coefficient (10) by the variables (pq) to get the simplified expression: \(10pq\) Therefore, the simplified expression for the given problem is \(10pq\).

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