The Binomial Expansion
The Binomial Expansion
Use the binomial expansion (a + b)n = to expand each of the following binomials.
1. (x + 2y)5 2. (2x – y)4
3. (3x – 5y)4 4. (2x + 5y)7
5. Find the fourth term in the expansion of (2x – 3y)7.
6. Find the sixth term in the expansion of (4x + 3y)12.
7. Find the fourteenth term in the expansion of (3x + 5y)27.
8. Find the ninth term in the expansion of (4x – 6y)11.
9. Find the tenth term in the expansion of (4x – 5y)17.
10. Find the seventeenth term in the expansion of (3x – 2y)20.
11. Find the twelfth term in the expansion of (3x – y)16.
12. Find the eighth term in the expansion of (2x – 5y)12.
13. Find the fourth term of .
14. Find the fifth term of .
15. Find the fourth term of ( – x–1)8.
16. Find the sixth term of .
17. Find the sixth term of .
18. Find the fifth term of .
19. Find the fifth term of .
20. Find second term of (x + y )9.
21. Find the seventh term of .
22. Find the third and fourth terms of .
23. Find, in simplest form, (–1 + 2i)3 where i = .
24. Find the value of ( – )5.
25. Find and simplify the first four terms of .
26. Find the value of (1 – i)5 where i = .
27. Find the first three terms of .
28. Find the first five terms of (3 – 2 )7.
29. Find the first three terms of .
30. Find the third term of ( – x)6.
Answers
5. –15120x4y3 6. 3153199104x7y5
7. 11711209361901855467500x14y13 8. 17736744960x3y8
9. –3111680000000000x8y9 10. 25719275520x4y16
11. –1061424x5y11 12. –1980000000x5y7
13. – 14. 15. –
16. – 231 17. –252 18.
19. 70 20. 126y7x 21. 28
22. – , 23. 11 – 2i 24. 89 – 109
25. – + – 7x 26. –4 + 4i
27. a12 – 16a10 + 112a8 28. –128x + 1344x3 – 6048x + 15120x2 – 2268x
29. x9y–3 – 12x8y + 60x7y2 30. –
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
Related searches
- binomial expansion equation
- binomial expansion example
- binomial expansion practice
- pascal s triangle binomial expansion practice
- binomial expansion formula
- binomial expansion theorem
- binomial expansion notes pdf
- binomial expansion pdf
- binomial expansion problems
- binomial expansion theorem pdf
- binomial expansion worksheet key
- binomial expansion worksheet