PrerequisitesPrerequisite

Expanding two parentheses - using arrows

Multiply every term in the first parenthesis by every term in the second.

  • Circle each signed term in the first parenthesis.
  • Follow the blue arrows from the first term, then the green arrows from the second term.
  • Write the products in two rows, lining up terms with the same power of .
  • Add down each column, keeping the positive or negative sign with every term.

Example 1

Four products

Expand and simplify.

Example 2

A coefficient on each

Multiply out the parentheses and collect like terms.

Remember
The colors link each circled term to its row of products. Blank spaces keep matching powers aligned; only like terms can be added.

Your turn

5 practice questions
Question 1

Expand and simplify.

Check answer
Question 2

Expand and simplify.

Check answer
Question 3

Expand and simplify.

Check answer
Question 4

Expand and simplify.

Check answer
Question 5

Expand and simplify.

Check answer