﻿ Double Distributive Property --Visual Examples, Practice Problems and pictures

# Double Distributive Method for Multiplying Binomials

Like Foil, the double distributive method is used for multiplying 2 binomials.

How "double" distributive works

Unlike "single" distribution which only distributes 1 single term , double distribution requires two terms (a binomial) to distribute over a second binomial .

So, in this example, you have to distribute that first x and also that 5 over the second binomial .

Step 1

Distribute out both terms

Step 2

Simplify like terms

$-3x -21 + x^2 + 7x \\ x^2 + 4x - 21$
Step 1

Distribute out both terms

Step 2

Simplify like terms

$-3x -9 + x^2 + 3x \\ x^2 \red{-3x + 3x} -9 \\ x^2 -9$
Step 1

Distribute out both terms

Step 2

Simplify like terms

$-4x -12 + 2x^2 + 6x \\ 2x^2 +2x - 12$
Step 1

Distribute out both terms

Step 2

Simplify like terms

$-24x +8 + 3x^2 -x \\ x^2 -25x +8$

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