Multiplying Polynomials Worksheet

Vedic maths trick 29: Algebra: longer expressions · Set 71 · 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.(x² − 3x + 8)(3x + 9) =
2. 2.(3x² − 2x − 9)(3x − 1) =
3. 3.(x + 5y)(2x + 3y) =
4. 4.(3x² + 3x − 2)(2x − 5) =
5. 5.(2x² + x + 6)(3x − 9) =
6. 6.(x² − x + 2)(2x − 1) =
7. 7.(x² − x + 7)(2x + 3) =
8. 8.(2x² + x + 7)(3x + 9) =
9. 9.(x + 3y)(4x + 8y) =
10. 10.(3x + 8y)(5x + 8y) =
11. 11.(3x² − 3x + 1)(x + 4) =
12. 12.(3x − 8y)(2x − 4y) =
13. 13.(2x² − x + 8)(x − 1) =
14. 14.(2x − 3y)(2x + 7y) =
15. 15.(5x + 2y)(4x + 7y) =
16. 16.(2x − 2y)(4x + 4y) =
17. 17.(5x + 6y)(2x + 7y) =
18. 18.(x² − 5x − 3)(x + 7) =
19. 19.(x − 8y)(4x + 8y) =
20. 20.(2x² + 2x + 5)(x − 5) =
21. 21.(x² − 2x + 5)(2x + 9) =
22. 22.(4x − 6y)(4x + 2y) =
23. 23.(2x² − 3x + 2)(3x + 1) =
24. 24.(x − 2y)(3x + 6y) =
25. 25.(2x² − 5x + 5)(x − 5) =
26. 26.(3x + 6y)(5x + 5y) =
27. 27.(3x² + 2x − 5)(x + 8) =
28. 28.(x² − 4x + 1)(x + 7) =
29. 29.(x² + x − 8)(x + 2) =
30. 30.(x² − 3x + 4)(3x − 4) =
31. 31.(5x − 6y)(x + 5y) =
32. 32.(5x + 3y)(x − y) =
33. 33.(5x + 5y)(4x + 7y) =
34. 34.(3x² + 4x + 2)(2x + 1) =
35. 35.(x + 8y)(x + y) =
36. 36.(2x² + 5x + 2)(x + 5) =
37. 37.(2x + 6y)(3x + 9y) =
38. 38.(2x + 5y)(x − 2y) =
39. 39.(5x + 5y)(x − 6y) =
40. 40.(x² − 2x − 1)(3x − 7) =

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