Mathematics
Grade10
Easy

Question

Find the first four terms of the expansion open parentheses 1 plus 1 third y close parentheses to the power of 10.

  1.  1 plus 10 over 4 y plus 5 y squared minus 40 over 7 y cubed plus horizontal ellipsis
  2.  4 plus 10 over 3 y plus 6 y squared plus 40 over 9 y cubed plus horizontal ellipsis
  3.  1 minus 10 over 3 y plus 5 y squared minus 40 over 9 y cubed plus horizontal ellipsis
  4.  1 plus 10 over 3 y plus 5 y squared plus 40 over 9 y cubed plus horizontal ellipsis

hintHint:

Using the binomial expansion solve the question.

The correct answer is: 1 plus 10 over 3 y plus 5 y squared plus 40 over 9 y cubed plus horizontal ellipsis


    STEP BY STEP SOLUTION
    open parentheses 1 space plus 1 third y close parentheses to the power of 10
scriptbase C subscript 0 space 1 to the power of 10 end scriptbase presuperscript 10 space open parentheses 1 third y close parentheses to the power of 0 space end exponent space plus space scriptbase C subscript 1 end scriptbase presuperscript 10 space 1 to the power of 9 space open parentheses 1 third y close parentheses to the power of 1 space plus scriptbase C subscript 2 space 1 to the power of 8 space open parentheses 1 third y close parentheses squared space plus scriptbase C subscript 3 space 1 to the power of 8 space open parentheses 1 third y close parentheses cubed end scriptbase presuperscript 10 end scriptbase presuperscript 10
    1 plus 10 over 3 y plus 5 y squared plus 40 over 9 y cubed plus horizontal ellipsis

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