Math

Multiplying Binomials Calculator

Multiply two binomials (ax + b)(cx + d) and get the expanded form.

Calculated Output

x² coefficient 1

x coefficient 10

constant 24

Formula: (ax+b)(cx+d) = ac·x² + (ad+bc)·x + bd

Step-by-Step Breakdown

1. Values used:

2. a = 1

3. b = 4

4. c = 1

5. d = 6

7. x² coefficient = 1

8. x coefficient = 10

9. constant = 24

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The math behind it

Distribute every term of the first binomial across the second: ac x² + (ad + bc) x + bd.

(x + 4)(x + 6) = x² + 10x + 24.

What is a binomial?

An expression with exactly two terms, such as x + 4.