Multiplying Polynomials Worksheet

Vedic maths trick 29: Algebra: longer expressions · Set 249 · 40 sums

The trick (Urdhva Tiryagbhyam): (ax² + bx + c)(dx + e): x³ = a×d; x² = a×e + b×d; x = b×e + c×d; number = c×e. (ax + by)(cx + dy): x² = a×c; xy = a×d + b×c; y² = b×d. Keep the signs; leave out a term whose total is 0. Type x³ as x^3.

1. 1.(4x + 3y)(x + 3y) =
2. 2.(x² − x + 9)(3x − 7) =
3. 3.(x² + 4x + 1)(x + 1) =
4. 4.(3x² + 2x − 3)(3x + 9) =
5. 5.(3x² + 4x − 3)(2x − 3) =
6. 6.(2x + y)(x − 6y) =
7. 7.(3x² + x − 8)(2x − 7) =
8. 8.(2x − y)(2x − 8y) =
9. 9.(x + 9y)(3x − 4y) =
10. 10.(2x² − 2x − 7)(3x − 2) =
11. 11.(4x + 4y)(2x − y) =
12. 12.(x² − 5x + 2)(x + 1) =
13. 13.(x² − 5x − 1)(2x + 1) =
14. 14.(2x² + 4x + 2)(3x + 5) =
15. 15.(3x² + 3x + 2)(2x + 2) =
16. 16.(3x² − x + 4)(2x − 1) =
17. 17.(3x² − 2x + 5)(3x + 4) =
18. 18.(x + 2y)(4x + 5y) =
19. 19.(2x + 8y)(2x + 5y) =
20. 20.(x − 2y)(3x − y) =
21. 21.(x² + 2x + 7)(x − 2) =
22. 22.(2x² − 4x + 8)(x − 6) =
23. 23.(x² + x − 1)(3x + 9) =
24. 24.(2x² + 4x − 2)(2x + 8) =
25. 25.(5x − y)(5x + 2y) =
26. 26.(2x + 5y)(2x + 7y) =
27. 27.(3x² + x − 8)(2x + 8) =
28. 28.(4x − 8y)(4x − 5y) =
29. 29.(3x² + 4x + 1)(2x + 5) =
30. 30.(2x − y)(4x − 2y) =
31. 31.(2x² − 2x + 1)(x − 7) =
32. 32.(x² − 4x + 8)(x − 2) =
33. 33.(3x² + 5x − 1)(3x + 1) =
34. 34.(2x + 2y)(x + 5y) =
35. 35.(x² − 5x + 9)(x + 6) =
36. 36.(2x + 3y)(3x + 2y) =
37. 37.(3x² + 2x + 4)(x − 1) =
38. 38.(2x² + 2x − 8)(2x + 4) =
39. 39.(2x + 6y)(2x − 7y) =
40. 40.(2x + 4y)(x − 2y) =

Free vedic maths lessons, practice and worksheets at talentjr.in/vedic-maths