Algebraic Expression Simplifier & Polynomial Expander
Simplify linear expressions and expand polynomials with step-by-step logic. A homework helper for students learning algebra.
Step-by-Step Logic
About
Algebra forms the foundation of higher mathematics, but mastering the rules of simplification and expansion requires practice. This tool focuses on two core operations: combining like terms in linear expressions and distributing/expanding polynomials.
Instead of just giving the answer, this tool breaks down the process. It parses the expression, groups terms by their variables (e.g., all 'x' terms, all 'y' terms), and performs the arithmetic. This transparency helps students verify their work and understand why the answer is what it is.
Formulas
The simplifier relies on the Distributive Law and the logic of Like Terms.
For combining terms:
Reference Data
| Operation | Example Input | Result | Rule Applied |
|---|---|---|---|
| Combine Like Terms | 2x + 5 - x + 3 | x + 8 | Add coefficients of identical variables. |
| Distributive Property | 2(x + 3) | 2x + 6 | Multiply outer term by every inner term. |
| Expansion (FOIL) | (x+1)(x+2) | x2 + 3x + 2 | First, Outer, Inner, Last. |
| Subtraction | 5x - (2x + 1) | 3x - 1 | Distribute the negative sign (-1). |
| Identity | x + 0 | x | Additive Identity. |
| Zero Property | x * 0 | 0 | Multiplication by Zero. |
| Commutative | x + y | y + x | Order does not matter in addition. |