Expanding binomials (FOIL) worksheets with answer keys

Expanding binomials with FOIL, including squares and difference-of-squares patterns. Algebra 1. Every sheet prints with a matching answer key, and every sheet is generated fresh — so you can hand out a different one each time without writing it yourself.

Generate a expanding binomials (foil) worksheet →

What the problems look like

Three real examples at each difficulty, with answers.

Easy

• Expand: (x − 4)(x − 3) → x² − 7x + 12
• Expand: (x − 2)(x + 4) → x² + 2x − 8
• Expand: (x + 1)(x + 5) → x² + 6x + 5

Generate a full easy expanding binomials (foil) worksheet →

Medium

• Expand: (x + 7)(x − 7) → x² − 49
• Expand: (x − 4)(x − 9) → x² − 13x + 36
• Expand: (x + 6)(x − 9) → x² − 3x − 54

Generate a full medium expanding binomials (foil) worksheet →

Hard

• Expand: (x − 3)(x + 10) → x² + 7x − 30
• Expand: (x − 6)(x + 7) → x² + 1x − 42
• Expand: (x + 8)(x − 9) → x² − 1x − 72

Generate a full hard expanding binomials (foil) worksheet →

How to use it

• Pick a difficulty above and hit generate — you get 20 problems instantly.
• Toggle the answer key on or off before you print.
• Hit “New problems” for a completely different sheet on the same skill.
• Every sheet has a permanent link, so you can reprint the exact same one next year.
• No signup, no ads on the printout. Pro ($19) raises the cap to 60 problems and prints A–F differentiated versions in one go.

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