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Simplify. Express your answer as a single fraction in simplest form. -
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Q. Simplify. Express your answer as a single fraction in simplest form. -
- Identify Terms to Combine: Identify the terms in the expression that can be combined.We have the expression . The terms and can be combined because they are like terms (both have the variable ).
- Find Common Denominator: Find a common denominator for the terms.The term can be thought of as a fraction with a denominator of , so it is . The common denominator for and is . We need to rewrite with the common denominator of .
- Rewrite with Common Denominator: Rewrite the first term with the common denominator.To rewrite with a denominator of , we multiply both the numerator and the denominator by . This gives us , which simplifies to .
- Combine Terms: Combine the terms over the common denominator.Now we have . Since they have the same denominator, we can combine the numerators. This gives us .
- Simplify Numerator: Simplify the numerator.We subtract from to get . So the expression simplifies to .
