Multiplying Polynomials Worksheet

Vedic maths trick 29: Algebra: longer expressions · Set 144 · 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 + 5y)(5x − 5y) =
2. 2.(x² + x + 6)(2x − 5) =
3. 3.(2x² + x + 9)(x + 7) =
4. 4.(3x² + 3x + 3)(3x + 9) =
5. 5.(x² − 3x − 8)(3x − 3) =
6. 6.(x² + x + 4)(3x + 1) =
7. 7.(x² − 4x − 3)(3x − 5) =
8. 8.(2x² + 2x + 3)(2x + 9) =
9. 9.(x² + 4x + 8)(3x − 6) =
10. 10.(4x − 6y)(2x − 5y) =
11. 11.(x² − 3x − 2)(3x + 5) =
12. 12.(3x² + x + 5)(x − 5) =
13. 13.(3x² + 4x + 9)(x + 5) =
14. 14.(4x − 3y)(x + y) =
15. 15.(3x + 5y)(4x + 5y) =
16. 16.(x + 6y)(3x + y) =
17. 17.(2x² + 3x + 4)(2x + 5) =
18. 18.(3x² + 3x + 6)(x + 1) =
19. 19.(x − 8y)(3x + 2y) =
20. 20.(x² − 5x + 8)(2x − 3) =
21. 21.(x² + x + 3)(3x − 3) =
22. 22.(3x² + 3x + 8)(3x + 2) =
23. 23.(x + 7y)(4x + 5y) =
24. 24.(3x − 3y)(4x + 2y) =
25. 25.(2x − 8y)(x + 9y) =
26. 26.(2x² − x + 9)(2x − 2) =
27. 27.(2x − 6y)(4x − 8y) =
28. 28.(4x − 6y)(4x + 8y) =
29. 29.(2x − 4y)(3x + 7y) =
30. 30.(5x + 8y)(5x + 6y) =
31. 31.(2x + 7y)(3x − y) =
32. 32.(x² + 4x + 1)(x + 9) =
33. 33.(5x − 3y)(x − 7y) =
34. 34.(2x + 2y)(5x − 2y) =
35. 35.(3x + 5y)(5x − 5y) =
36. 36.(3x² − x − 5)(x + 7) =
37. 37.(x² + x − 7)(x + 4) =
38. 38.(5x + 8y)(4x + 4y) =
39. 39.(3x² − 5x + 1)(2x + 4) =
40. 40.(4x + 7y)(5x + 6y) =

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