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Write the indicated term of the binomial expansion

 (3x + 4)^5; 5th term

2 Answers

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  • 7 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

  • 1 week ago

    (3x + 4)^5 = 243 x^5 + 1620 x^4 + 4320 x^3 + 5760 x^2 + 3840 x + 1024

    5th term: 3840 x

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