Special binomial products

Recognise and expand perfect squares and differences of two squares using their patterns, and use them for quick mental arithmetic.

⏱ 18 min❓ 10 questions

What you'll be able to do

✔I can expand perfect squares using (a + b)² = a² + 2ab + b² and (a − b)² = a² − 2ab + b²
✔I can expand a difference of two squares using (a + b)(a − b) = a² − b²
✔I can use these patterns to simplify calculations and solve area problems

How this works

1Read the short explanations first — they teach you what you need before each question.
2Answer each question, then tap Check. A right answer moves you on automatically; if it's wrong, you'll see a friendly explanation of why.
3Finish all 3 steps to see your score — sign in and subscribe to unlock the full lesson and save it.

What's inside

10 questions and 1 quick teaching card, including:

🔘Multiple choice — Tap the answer you think is best, then check it.
🔢Number answer — Work out the answer and type the number.

👪Grown-up tip: sit alongside younger learners for the first few lessons. Read the questions together and chat about the explanations — that's where the real learning sticks.

Curriculum: AC9M9A02