Multiplying Polynomials Worksheet

Vedic maths trick 29: Algebra: longer expressions · Set 584 · 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 + 4y)(x − 4y) =
2. 2.(4x − 4y)(x + 3y) =
3. 3.(x² + 2x + 4)(2x − 2) =
4. 4.(5x + 3y)(x + 2y) =
5. 5.(3x − y)(x − 8y) =
6. 6.(2x² − 3x + 7)(2x + 9) =
7. 7.(x² − 3x + 3)(x + 4) =
8. 8.(x² − 5x − 4)(2x − 2) =
9. 9.(x² − 5x + 3)(3x − 2) =
10. 10.(2x² − 2x + 1)(x + 1) =
11. 11.(3x² + 2x + 1)(3x + 1) =
12. 12.(x² + 3x − 8)(3x + 2) =
13. 13.(x² − 3x + 4)(x + 8) =
14. 14.(3x² + x + 7)(3x + 7) =
15. 15.(x + 7y)(x + 5y) =
16. 16.(x² − 4x − 5)(2x + 9) =
17. 17.(2x² + x − 3)(x + 5) =
18. 18.(2x² − 3x + 3)(2x + 1) =
19. 19.(x² + 5x − 9)(3x + 5) =
20. 20.(5x + y)(2x + 4y) =
21. 21.(2x² − 2x − 2)(3x + 9) =
22. 22.(x² + x + 3)(x − 5) =
23. 23.(x − 9y)(5x + 7y) =
24. 24.(2x² + 2x + 1)(3x + 9) =
25. 25.(4x − 2y)(3x − 5y) =
26. 26.(x² − x + 7)(x + 9) =
27. 27.(2x² + x − 4)(2x + 6) =
28. 28.(3x − 3y)(x + 2y) =
29. 29.(x² + 3x + 1)(3x + 6) =
30. 30.(2x² + x + 9)(x − 2) =
31. 31.(x + 4y)(2x + 5y) =
32. 32.(x + 9y)(x + 7y) =
33. 33.(4x − 4y)(5x − 7y) =
34. 34.(4x − 8y)(5x + 2y) =
35. 35.(4x + 9y)(4x + 5y) =
36. 36.(2x + 6y)(2x + y) =
37. 37.(2x − 6y)(3x + 5y) =
38. 38.(x² + 5x + 1)(3x + 4) =
39. 39.(2x + 7y)(3x + 4y) =
40. 40.(x² + 5x + 9)(3x + 1) =

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