Multiplying Polynomials Worksheet

Vedic maths trick 29: Algebra: longer expressions · Set 431 · 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.(3x² − 2x + 5)(3x + 1) =
2. 2.(3x² − 4x + 1)(3x − 3) =
3. 3.(x² − x + 3)(x − 2) =
4. 4.(x² + 4x − 1)(3x − 6) =
5. 5.(3x² + 4x + 7)(3x + 5) =
6. 6.(5x + 4y)(5x + 5y) =
7. 7.(3x + 6y)(x − 4y) =
8. 8.(x² − 3x + 6)(x + 8) =
9. 9.(2x² − x + 5)(x − 8) =
10. 10.(3x + y)(x + 2y) =
11. 11.(4x − 7y)(4x + 3y) =
12. 12.(3x² − 2x + 7)(x + 7) =
13. 13.(3x² + x − 1)(x + 4) =
14. 14.(x² − 5x + 9)(2x + 7) =
15. 15.(2x − 4y)(x − 8y) =
16. 16.(x² − x + 4)(3x + 4) =
17. 17.(x² + x + 6)(3x + 9) =
18. 18.(3x² + x + 3)(x − 5) =
19. 19.(x − 3y)(x − 6y) =
20. 20.(x + 7y)(3x + y) =
21. 21.(2x² − 5x + 5)(2x − 4) =
22. 22.(2x + 9y)(x + 7y) =
23. 23.(3x² − 5x + 8)(2x − 3) =
24. 24.(x² + 4x + 9)(3x − 3) =
25. 25.(2x² + 4x − 7)(3x − 2) =
26. 26.(2x² + x − 2)(3x + 9) =
27. 27.(x² − x − 1)(3x − 7) =
28. 28.(2x² − 4x − 5)(2x + 2) =
29. 29.(x² + x − 9)(3x + 2) =
30. 30.(3x² + 5x + 1)(x + 8) =
31. 31.(x² − 3x + 3)(x + 3) =
32. 32.(2x + 7y)(2x − 7y) =
33. 33.(2x − y)(x − 7y) =
34. 34.(3x² + 4x + 3)(3x + 8) =
35. 35.(x² + 5x + 9)(3x + 1) =
36. 36.(2x + 4y)(5x + y) =
37. 37.(3x − 2y)(x + 4y) =
38. 38.(2x + 6y)(2x − 3y) =
39. 39.(x² + 3x + 7)(2x + 1) =
40. 40.(3x² + x + 7)(2x + 8) =

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