Math Problem Statement

can you simplify x^2/x + 5

Solution

To simplify the expression x2x+5\frac{x^2}{x} + 5, follow these steps:

  1. Simplify the fraction x2x\frac{x^2}{x}. Since x2=xxx^2 = x \cdot x, this can be simplified as:

    x2x=x\frac{x^2}{x} = x

  2. Now, substitute this back into the original expression:

    x+5x + 5

So, the simplified expression is:

x+5x + 5

Would you like a more detailed explanation or have any questions?

Here are 5 related questions:

  1. How do you simplify fractions involving variables?
  2. What happens if x=0x = 0 in this expression?
  3. How do you simplify expressions with higher powers of xx?
  4. Can you factor x2+5xx^2 + 5x?
  5. What is the domain of this simplified expression?

Tip: Always check if any variable expressions lead to undefined results by considering potential restrictions on the variable (e.g., division by zero).

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Fractions with Variables

Formulas

x^2 / x = x

Theorems

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Suitable Grade Level

Grades 6-8