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Adding and Subtracting Polynomials Calculator

Add or subtract polynomial expressions of any degree with automatic like-term combining. Accepts expressions like 3x^2 + 2x − 5 and outputs the simplified result. Ideal for algebra students, teachers, and anyone working with polynomial arithmetic.

Complete User Guide

Type two polynomial expressions (e.g., 2x^2 + 3x − 5 and x^2 − 4). Choose Addition or Subtraction and press Calculate. The tool parses each term, groups like terms, adds or subtracts their coefficients, and outputs the simplified polynomial in descending degree order.

The Mathematical Formula
(ax² + bx) + (cx² + dx) = (a+c)x² + (b+d)x

The core rule: only like terms (same variable, same exponent) can be directly added or subtracted. For addition: (ax^n + bx^m) + (cx^n + dx^m) = (a+c)x^n + (b+d)x^m. For subtraction, distribute the negative sign first: (P₁) − (P₂) = P₁ + (−P₂). Then combine like terms as in addition.

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