Algebraic Fractions Calculator
Simplify rational expressions, add, subtract, multiply, and divide algebraic fractions with step-by-step explanations.
Step 1: First Algebraic Fraction
📘 Expression Guide
Use ^ for powers, * for multiplication. Examples: x^2+3x, (x+2)/(x-3), 2*x. Variable is x (lowercase).
Step 2: Operation & Second Fraction
💡 About Operations
For add/subtract, fractions are combined into one and simplified. Multiply/divide combine accordingly.
Simplified Result
Result
Steps
Common Forms
Simplified Algebraic Fraction
(x+1)
Equivalent to original expression
Original Expression
(x^2+2x+1)/(x+1)
Domain Restrictions
x ≠ -1
Degree (num/den)
2/1
Operation
Simplify
Step-by-Step Simplification
Click “Compute” to see detailed steps.
Common Algebraic Fraction Forms
| Expression | Simplified Form | Domain |
|---|---|---|
| (x²-1)/(x-1) | x+1 | x≠1 |
| (x²+2x+1)/(x+1) | x+1 | x≠-1 |
| (x²-4)/(x-2) | x+2 | x≠2 |
| (x³-1)/(x-1) | x²+x+1 | x≠1 |
| 1/(x) + 1/(x+1) | (2x+1)/(x(x+1)) | x≠0,-1 |
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