What is the result of subtracting \( \frac{x^2-3}{2x+7} - \frac{2x-5}{2x+7} \)?
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Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The result is \( \frac{x^2-2x+2}{2x+7} \), where \( x \neq -\frac{7}{2} \).
2.
FLASHCARD QUESTION
Front
What operation is used when canceling expressions in a fraction?
Back
Division.
3.
FLASHCARD QUESTION
Front
What is the simplified form of the expression \( \frac{n}{2m} \)?
Back
The simplified form is \( \frac{n}{2m} \).
4.
FLASHCARD QUESTION
Front
What is the domain restriction for the expression \( \frac{x^2-3}{2x+7} \)?
Back
The domain restriction is \( x \neq -\frac{7}{2} \).
5.
FLASHCARD QUESTION
Front
How do you combine fractions with a common denominator?
Back
You subtract or add the numerators while keeping the common denominator.
6.
FLASHCARD QUESTION
Front
What is the first step in subtracting two fractions?
Back
Ensure both fractions have a common denominator.
7.
FLASHCARD QUESTION
Front
What does it mean to simplify an expression?
Back
To reduce it to its simplest form, removing any common factors.
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