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Write the indicated term of the binomial expansion
(3x + 4)^5; 5th term
2 Answers
- la consoleLv 71 week 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
- ?Lv 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
