Math Problem Statement
Solution
It appears that the image you uploaded contains a math problem related to simplifying a rational expression. The expression is:
The question asks which expression is equivalent to the given problem. To solve this, we need to find a common denominator, combine the fractions, and simplify the result.
Let's break it down:
- The first term, , already has the denominator .
- The second term, , needs to be rewritten with the common denominator . To do this, we multiply the numerator and denominator of the second term by , giving us .
Now, the expression becomes:
Since the denominators are now the same, we can subtract the numerators:
Next, expand the numerator:
So the expression simplifies to:
This matches option B, which is:
Thus, the correct answer is B.
Would you like more details or have any questions about this solution?
Here are some related questions you might find interesting:
- How do you simplify a rational expression with different denominators?
- What does it mean to find a common denominator in algebra?
- How do you perform polynomial expansion in the numerator when simplifying rational expressions?
- Can you explain how to deal with higher degree polynomials in rational expressions?
- What other strategies can be used to combine rational expressions besides finding a common denominator?
Tip: When combining rational expressions, always look for a common denominator first, as this allows you to combine the terms more easily.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Rational Expressions
Algebra
Simplifying Fractions
Formulas
(a/b) - (c/d) = (ad - bc)/(bd)
Theorems
Common Denominator
Suitable Grade Level
Grades 8-10