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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 Like Terms: Identify the like terms in the expression.The expression is . To combine these terms into a single fraction, we need to have the same denominator for both terms.
- Find Common Denominator: Find a common denominator.The first term has a denominator of , and the second term, , can be thought of as . To combine these, we can write with a denominator of by multiplying both the numerator and the denominator by .
- Rewrite with Common Denominator: Rewrite the expression with a common denominator. becomes
- Combine Fractions: Combine the fractions.Now that both terms have the same denominator, we can combine them into a single fraction. becomes
- Simplify Numerator: Simplify the numerator if possible.In the numerator , we cannot combine the terms further because they are not like terms (one has an and the other does not). Therefore, the expression is already in its simplest form.
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