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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.
- Convert to fraction: We have the expression . To combine this into a single fraction, we need to have a common denominator. Since can be written as , we can convert it to have the same denominator as by multiplying both the numerator and the denominator by .
- Combine fractions with common denominator: First, we convert to a fraction with as the denominator: .
- Subtract numerators: Now we have two fractions with the same denominator:
- Final simplified expression: We can now subtract the numerators while keeping the common denominator: .
- Final simplified expression: We can now subtract the numerators while keeping the common denominator: .This is the simplified expression as a single fraction. There is no further simplification possible since and do not have common factors.
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