Multiplying Polynomials Worksheet

Vedic maths trick 29: Algebra: longer expressions · Set 167 · 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.(x − y)(4x − 9y) =
2. 2.(x + 2y)(5x + 9y) =
3. 3.(x² + 4x + 2)(3x + 9) =
4. 4.(3x² + 3x − 1)(3x − 6) =
5. 5.(x² − 4x + 7)(2x − 7) =
6. 6.(3x² + 5x + 8)(3x − 3) =
7. 7.(5x − 5y)(x − 8y) =
8. 8.(4x − 2y)(4x + 3y) =
9. 9.(x² − 4x − 7)(3x + 1) =
10. 10.(3x² + x − 2)(3x − 1) =
11. 11.(3x² − 5x − 1)(3x − 5) =
12. 12.(2x² + x + 2)(2x − 1) =
13. 13.(x² − 5x + 9)(x − 6) =
14. 14.(4x + 2y)(4x + 6y) =
15. 15.(3x − 8y)(2x + 8y) =
16. 16.(3x² − 2x + 7)(3x + 6) =
17. 17.(2x² + 5x + 2)(x + 2) =
18. 18.(3x² − 5x + 7)(3x + 8) =
19. 19.(x² + 4x + 6)(2x + 7) =
20. 20.(3x − y)(4x + 4y) =
21. 21.(3x² + 2x − 3)(2x + 3) =
22. 22.(x + 8y)(4x + 6y) =
23. 23.(3x² − 3x − 7)(x − 3) =
24. 24.(4x + 3y)(3x + 2y) =
25. 25.(x² + x + 7)(3x + 4) =
26. 26.(x² − 5x − 8)(x + 8) =
27. 27.(2x² − 2x − 9)(3x + 1) =
28. 28.(5x − 7y)(x + 3y) =
29. 29.(x² − 4x − 7)(x − 8) =
30. 30.(2x² + 3x + 2)(2x + 2) =
31. 31.(3x² − 3x − 7)(x − 5) =
32. 32.(3x² − 5x + 9)(x − 7) =
33. 33.(4x + 6y)(4x + 9y) =
34. 34.(3x + 8y)(x − 7y) =
35. 35.(x² − 5x + 5)(x + 6) =
36. 36.(2x² + 4x − 1)(3x + 6) =
37. 37.(2x² − 5x − 6)(2x + 9) =
38. 38.(x + 9y)(5x + 9y) =
39. 39.(2x² − 4x − 1)(3x − 2) =
40. 40.(x + 5y)(2x + 9y) =

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