Multiplying Binomials Calculator
This calculator helps you multiply two binomials and simplify the resulting expression. It supports the FOIL method and standard algebraic expansion, making it perfect for students learning how to work with polynomials.
Expand and Multiply Two Binomials
Binomial Multiplication Formula
$$(a + b)(c + d) = ac + ad + bc + bd$$
Explanation:
To multiply two binomials, apply the distributive property (also known as the FOIL method), then combine like terms if needed.
Binomial Multiplication – Calculation Example
Multiply: (x + 5)(x – 2)
First: x × x = x²
Outer: x × (−2) = −2x
Inner: 5 × x = 5x
Last: 5 × (−2) = −10
Combine: x² − 2x + 5x − 10 = x² + 3x − 10
Multiplying binomials is a core concept in algebra, forming the basis for quadratic equations and polynomial expressions. This calculator simplifies the learning process by providing step-by-step solutions. Ideal for checking homework, practicing algebra, or studying for exams.