Yahoo Answers is shutting down on 4 May 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
help with this question?
Write the indicated term of the binomial expansion
(3x + 4)^5; 5th term
2 Answers
- la consoleLv 77 days ago
= (3x + 4)⁵
= (3x + 4)².(3x + 4)².(3x + 4)
= (9x² + 24x + 16).(9x² + 24x + 16).(3x + 4)
= (81x⁴ + 216x³ + 144x² + 216x³ + 576x² + 384x + 144x² + 384x + 256).(3x + 4)
= (81x⁴ + 432x³ + 864x² + 768x + 256).(3x + 4)
= 3x.(81x⁴ + 432x³ + 864x² + 768x + 256) + 4.(81x⁴ + 432x³ + 864x² + 768x + 256)
= 243x⁵ + 1296x⁴ + 2592x³ + 2304x² + 768x + 324x⁴ + 1728x³ + 3456x² + 3072x + 1024
= 243x⁵ + 1620x⁴ + 4320x³ + 5760x² + 3840x + 1024
- KrishnamurthyLv 71 week ago
(3x + 4)^5 = 243 x^5 + 1620 x^4 + 4320 x^3 + 5760 x^2 + 3840 x + 1024
5th term: 3840 x
