# Confusion on a subtraction problem

• sportsguy3675
In summary, the correct answer for the expression \frac{x}{x^2-9} - \frac{1}{2x-6} is \frac{x}{(x-3)(x+3)}-\frac{1}{2(x-3)} after bringing to a common denominator and simplifying. Daniel made a mistake when subtracting the numerators, but now understands the correct solution.
sportsguy3675
$$\frac{x}{x^2-9} - \frac{1}{2x-6}$$

When I first worked this problem I found the answer to be:
$$\frac{1}{2x-6}$$

However, in my English class we had this Vietnamese substitute who took my worksheet and did the problems on it in his head and pointed at the answer I wrote for this problem and walked away. He came back and worked it out in front of me and he got the answer:
$$\frac{1}{2x+6}$$

He is.

$$\frac{x}{(x-3)(x+3)}-\frac{1}{2(x-3)}$$

Bring to a common denominator and then simplify.

Daniel.

Whoops, I see where I went wrong. Messed up when I subtracted the numerators. :( Thanks for the clarification.

## 1. What is a subtraction problem?

A subtraction problem is a mathematical operation that involves taking away a certain number (the subtrahend) from another number (the minuend) to find the difference or remainder.

## 2. Why do people get confused with subtraction problems?

People may get confused with subtraction problems because it requires a different way of thinking compared to addition. Subtraction involves working backwards from the total to find the missing number, which can be challenging for some individuals.

## 3. What are some common mistakes people make when solving a subtraction problem?

Some common mistakes people make when solving a subtraction problem include forgetting to regroup or borrow when necessary, mixing up the order of numbers, or making calculation errors.

## 4. How can I avoid confusion when solving a subtraction problem?

To avoid confusion when solving a subtraction problem, it is important to understand the concept of subtraction and practice regularly. It can also be helpful to use visual aids, such as a number line or manipulatives, to better understand the problem.

## 5. Are there any tips for solving subtraction problems more efficiently?

Yes, there are a few tips for solving subtraction problems more efficiently. These include breaking down the problem into smaller parts, using mental math strategies such as subtracting from a multiple of ten, and checking your answer by using addition or estimation.

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