Calculator Form
Example Data Table
| Expression A | Operation | Expression B | Expected Result |
|---|---|---|---|
| 3x + 4x - 2 | Add | 5x + 7 | 12x + 5 |
| 6a^2 - 3a + 8 | Subtract | 2a^2 + 5a - 1 | 4a^2 - 8a + 9 |
| 1/2x + 3y | Add | 3/2x - y | 2x + 2y |
Formula Used
Like terms have the same variable letters and the same powers. Only their coefficients are added or subtracted.
ax^n + bx^n = (a + b)x^n
ax^n - bx^n = (a - b)x^n
For many terms, the calculator groups each matching variable pattern first. Then it applies the selected operation to each coefficient.
How to Use This Calculator
- Enter the first algebra expression in Expression A.
- Select add or subtract from the operation menu.
- Enter the second expression in Expression B.
- Choose result order, decimal places, and display options.
- Press Calculate to view the answer below the header.
- Use CSV or PDF when you need a saved copy.
About This Calculator
Adding and subtracting like terms is a core algebra skill. It helps you shorten long expressions without changing their value. This calculator focuses on that exact task. You can enter two expressions, choose an operation, and view a clean simplified result. It separates constants, variables, powers, coefficients, and signs. Then it groups matching variable parts. Finally, it adds the coefficients inside each group.
Why Like Terms Matter
Like terms have the same variable letters and the same powers. For example, 4x and 9x are like terms. They can become 13x. However, 4x and 4x² are not like terms. Their powers are different. A correct simplification keeps unlike terms separate. This protects the meaning of your equation and prevents common homework errors.
Advanced Use Cases
The tool is useful for students, tutors, and worksheet creators. It handles positive terms, negative terms, decimals, fractions, constants, and repeated variables. You can sort output by degree or alphabetically. You can also keep zero terms when checking cancellations. That option is helpful when teaching why a term disappears after subtraction.
Learning Benefit
The step table shows each parsed term before the final expression appears. This makes the answer easier to audit. You can compare every coefficient against the entered expression. The downloadable CSV file is useful for records. The PDF file is useful for printing practice work. These exports also help teachers share solved examples with learners.
Accuracy Notes
The calculator simplifies polynomial-style terms. It does not expand brackets or solve equations. Enter each expression as a list of terms, such as 3x² + 2x - 7. Use standard powers with the caret symbol when typing. Review the parsed term list if your result looks unexpected. Small input changes can change algebraic meaning quickly.
Best Input Practice
Write each term with its sign. Place spaces between terms when possible. Use x^2 instead of x2. Use fractions like 3/4x when needed. Avoid parentheses unless you simplify them first. This keeps the parser focused on combining terms. After calculation, check the formula section. It explains why only matching variable patterns are merged. Save examples when reviewing lessons, because repeated practice builds speed and confidence. Clear notes also support exam revision and independent study sessions.
FAQs
What are like terms?
Like terms have the same variable letters and matching powers. For example, 2x and 9x are like terms. But 2x and 2x^2 are not like terms.
Can this calculator subtract expressions?
Yes. Select the subtract option. The calculator changes the signs of Expression B terms, then combines matching variable parts with Expression A.
Can I use fractions?
Yes. You can enter fractions such as 1/2x or 3/4y. The calculator converts them into coefficient values before combining terms.
Can I use powers?
Yes. Use the caret symbol for powers, such as x^2 or a^3. Terms combine only when powers match exactly.
Why did a term disappear?
A term disappears when its final coefficient becomes zero. Turn on the cancelled terms option to see zero coefficient groups in the result table.
Does the calculator solve equations?
No. It simplifies expressions by combining like terms. It does not solve equations, expand brackets, factor expressions, or isolate variables.
Are X and x treated the same?
They are treated the same when variable case normalization is enabled. Disable that option if you want uppercase and lowercase variables kept separate.
What downloads are available?
You can download the result as a CSV file for spreadsheets or as a PDF file for printing and sharing simplified work.