Mathematics
Grade10
Easy

Question

What is the fourth term of (x – 5y)96?

  1. 125 96C3 x93 y3
  2. 625 96C3 x93 y4
  3. 625 96C4 x92 y4
  4. 125 96C4 x92 y4

hintHint:

Use the bionimal formula for the 4th term to find the forth term.

The correct answer is: 125 96C3 x93 y3


    STEP BY STEP SOLUTION

    Tr + 1 = nCr xn – r yr

    Here, the first term is 4, and the second term is 5y.

    n = 96

    r = 3
    Therefore, Tr + 1 = 96C3 x96 – 3 (5y)3

    = 125 96C3 x93 y3

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