Factoring & Expansion

Perform Factoring

Please enter a polynomial of degree 2 or higher (e.g., `x^2 - 5*x + 6` or `2*x^2 + 5*x - 3`).

Expand Polynomial

Please enter multiplied bracket expressions (e.g., `(2*x - 1)*(x + 3)` or `(x + 5)^3`).

💡 Factoring & Expansion Hints

  • What is Factoring? Factoring is the process of breaking down a polynomial into a product of simpler terms or polynomials (the reverse of multiplication).
  • Common Expansion Formulas:
    • Square of Sum/Difference: $(a \pm b)^2 = a^2 \pm 2ab + b^2$
    • Difference of Squares: $(a + b)(a - b) = a^2 - b^2$
    • Cubic Factoring/Expansion: $a^3 \pm b^3 = (a \pm b)(a^2 \mp ab + b^2)$