Distributive property

The question

3(4 + 4x)

Multiply out the bracket.

3(4 + 4x)

3(4 + 4x)
3 × 4=12
3 × 4x=12x
12x+12
  1. The 3 outside multiplies everything inside the bracket. Draw an arrow from the 3 to each term so neither is missed.
  2. First arrow: 3 × 4 = 12.
  3. Second arrow: 3 × 4x = 12x.
  4. Put the two together: 12x + 12.

How it works.

  1. 01

    The 3 outside multiplies everything inside the bracket. Draw an arrow from the 3 to each term so neither is missed.

  2. 02

    First arrow: 3 × 4 = 12.

  3. 03

    Second arrow: 3 × 4x = 12x.

  4. 04

    Put the two together: 12x + 12.