Multiplying Polynomials Worksheet

Vedic maths trick 29: Algebra: longer expressions · Set 72 · 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.(5x + y)(3x + 9y) =
2. 2.(x + 2y)(2x − 9y) =
3. 3.(3x² + 5x + 2)(3x − 6) =
4. 4.(3x² − 3x + 2)(3x + 1) =
5. 5.(2x² + 4x + 1)(3x + 6) =
6. 6.(2x − 5y)(4x + 8y) =
7. 7.(3x² − 2x − 3)(2x + 9) =
8. 8.(3x² + x − 8)(3x + 3) =
9. 9.(3x² + 3x + 6)(2x − 6) =
10. 10.(5x + 4y)(2x + 3y) =
11. 11.(x + y)(x − 3y) =
12. 12.(x² + 2x − 5)(3x + 6) =
13. 13.(5x − 2y)(2x − 7y) =
14. 14.(2x + 8y)(3x − 8y) =
15. 15.(4x + 9y)(2x + 3y) =
16. 16.(3x² − 5x + 2)(x − 6) =
17. 17.(x² + 3x − 4)(x + 6) =
18. 18.(3x² − x + 1)(3x + 1) =
19. 19.(2x² + 4x − 3)(3x + 6) =
20. 20.(2x² − 3x + 2)(x − 3) =
21. 21.(x² + 3x + 5)(x − 2) =
22. 22.(3x² − 3x + 3)(2x − 2) =
23. 23.(2x² − 5x − 8)(x − 6) =
24. 24.(5x − 8y)(3x − 8y) =
25. 25.(x² + 2x − 4)(x − 9) =
26. 26.(5x + 9y)(4x − 2y) =
27. 27.(2x + 2y)(x + 7y) =
28. 28.(x² − x + 6)(2x − 8) =
29. 29.(x + 9y)(3x + 2y) =
30. 30.(x² + 3x + 4)(3x − 2) =
31. 31.(2x + 3y)(5x + 8y) =
32. 32.(x² + 4x − 7)(2x − 8) =
33. 33.(2x + 2y)(5x + 9y) =
34. 34.(x² − 5x + 7)(2x + 8) =
35. 35.(x² + 2x − 3)(x − 8) =
36. 36.(3x + 7y)(2x − y) =
37. 37.(2x² + 2x − 7)(x + 1) =
38. 38.(2x + 3y)(2x − 9y) =
39. 39.(3x − 7y)(2x + 9y) =
40. 40.(3x² − 5x + 6)(x − 8) =

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