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Multiply Binomial Calculator

This calculator helps you multiply two binomials using algebraic expansion rules such as FOIL (First, Outer, Inner, Last). It’s ideal for students, teachers, and anyone learning or working with algebra to quickly simplify expressions like (x + 2)(x + 3).

Binomial Multiplication Tool

Input Fields
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x
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If enabled, the result will update automatically when you change any value.

Binomial Expansion Formula

Formula
$$(a + b)(c + d) = ac + ad + bc + bd$$ $$(x + m)(x + n) = x^2 + (m + n)x + mn$$

This is the standard method for multiplying two binomial expressions. It follows the distributive property to expand the product into a trinomial or polynomial expression.

Multiplying binomials is a key concept in algebra, essential for expanding and simplifying expressions, solving quadratic equations, and factoring. The most common method is FOIL, which applies the distributive property in four steps. This tool allows users to input two binomials and instantly see the expanded result, supporting both numeric and algebraic terms. It’s useful for practicing algebra, verifying homework, or teaching students how to break down expressions.

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