Multiplying algebra brackets — Vedic maths trick

The trick

Urdhva Tiryagbhyam — “vertically and crosswise”

1. x² term: multiply the x terms (vertical).
2. x term: multiply crosswise and add (watch the signs).
3. Number: multiply the numbers (vertical).

Use it for: Expanding two brackets in Class 7–10 algebra (and checking factorisation). Type x² as x^2 if you like.

Worked example: (2x + 3)(x + 4) = 2x² + 11x + 12

✏️ Practice

Work it out in your head or on paper, then tap your answer — or type it and press Check. Stuck? Press “Show me how”.

🏁 Trick 20 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

🏅 Sign in with Google to earn the 🔤 Algebra Ace badge when you pass — and a certificate when you finish all 10 tricks of Part 2 · Advanced tricks. You can still take the test without signing in.

🖨️ Multiplying Binomials Worksheet

• Worksheet set 1 (PDF)
• Worksheet set 2 (PDF)
• Worksheet set 3 (PDF)