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Chapter 5: Problem 5

In each case, simplify the given expression, if possible. \(a b-b a\)

Short Answer

Expert verified
Question: Simplify the expression \(ab - ba\). Answer: \(0\)

Step by step solution

01

Identify like terms

In the expression \(ab - ba\) we can notice that \(ab = ba\) due to the commutative property of multiplication. This means that we have like terms.
02

Simplify the expression by applying the commutative property

Since \(ab = ba\), the expression can be simplified to: \(ab - ba = ab - ab\)
03

Cancel out the terms

Now that we have the expression \(ab - ab\), we can cancel out the terms: \(ab - ab = 0\) The simplified expression is \(0\).

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