Calculadora de Multiplicação de Binômios

The Binomial Multiplication Calculator expands expressions of the form (ax + b)(cx + d) using the FOIL method (First, Outer, Inner, Last). The result is a quadratic trinomial: acx² + (ad + bc)x + bd. This tool is useful for algebra students who need to quickly verify their manual expansions or understand the pattern of binomial multiplication.

The operation is simple: enter the coefficients a, b, c, and d in the corresponding fields. The calculator automatically applies the formula, multiplying the first terms (a and c), the outer terms (a and d), the inner terms (b and c), and the last terms (b and d), summing the results. The output is displayed as a simplified polynomial, with terms ordered by descending degree.

Use this calculator when solving algebra problems involving products of binomials, such as quadratic equations, factoring, or simplifying expressions. It is ideal for checking school exercises, preparing for exams, or speeding up calculations in situations requiring quick expansion.

Caution: ensure you enter the signs correctly (positive or negative) for each coefficient. The calculator does not handle exponents other than 1 or variables other than x. For binomials with more than two terms, use a more advanced polynomial calculator.