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  • 17-03-2021
  • Mathematics
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Determine the term containing y^5 in the expansion of (x-3y)^8

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mhanifa
mhanifa mhanifa
  • 17-03-2021

Answer:

  • -13608x³y⁵

Step-by-step explanation:

Since y has degree of 5, x has degree of:

  • 8 - 3 = 5

The required term of the given binomial expansion (x - 3y)⁸ is:

  • 8C₅(x³)(-3y)⁵,

The value of the constant:

  • 8C₅ = 8!/5!(8-5)! = 7*8 = 56 * (-3)⁵= -13608

So the full term is:

  • 336x³(-3)⁵y⁵ = -13608x³y⁵
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