Multiplying Polynomials Worksheet

Vedic maths trick 29: Algebra: longer expressions · Set 598 · 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 + 1)(x − 4) =
2. 2.(3x² + x + 4)(3x − 2) =
3. 3.(2x² − 4x + 5)(2x − 5) =
4. 4.(x + 5y)(2x + y) =
5. 5.(x² + 2x + 5)(x + 5) =
6. 6.(x² + x − 6)(x + 3) =
7. 7.(x² + 5x + 5)(x + 5) =
8. 8.(3x² + x − 2)(3x + 1) =
9. 9.(2x² + x + 3)(2x + 5) =
10. 10.(2x² − 2x + 5)(2x − 1) =
11. 11.(2x − 3y)(x + 5y) =
12. 12.(3x + 3y)(x + 5y) =
13. 13.(4x + 6y)(3x + 6y) =
14. 14.(2x² + 5x + 6)(x + 8) =
15. 15.(2x² + 5x − 3)(2x − 7) =
16. 16.(2x² − x − 7)(2x + 3) =
17. 17.(2x − y)(4x + y) =
18. 18.(2x − 7y)(4x − 9y) =
19. 19.(3x + y)(4x − 5y) =
20. 20.(2x² − 5x + 3)(x − 3) =
21. 21.(3x² + 5x − 9)(2x + 4) =
22. 22.(3x² − x − 3)(x + 6) =
23. 23.(4x + 2y)(x + 4y) =
24. 24.(x² − 4x − 9)(x + 6) =
25. 25.(x² − 4x + 6)(3x + 9) =
26. 26.(3x − 7y)(2x − 7y) =
27. 27.(5x + y)(4x + 4y) =
28. 28.(2x² − 3x − 1)(2x − 2) =
29. 29.(x² + x + 4)(3x + 6) =
30. 30.(3x² − 4x − 2)(x − 2) =
31. 31.(x² + 2x + 1)(2x + 5) =
32. 32.(x² + 3x − 8)(x + 8) =
33. 33.(2x² − 4x + 9)(x + 8) =
34. 34.(2x² + 2x + 1)(x − 3) =
35. 35.(2x² + x + 3)(x − 9) =
36. 36.(3x² − 3x − 9)(3x + 7) =
37. 37.(3x² − 3x + 6)(2x − 9) =
38. 38.(x² − x − 3)(2x − 1) =
39. 39.(5x + 4y)(5x − 4y) =
40. 40.(2x + 5y)(2x + 3y) =

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