Mathematics
Grade10
Easy

Question

Find the first four terms of the expansion left parenthesis 1 plus x right parenthesis to the power of 32.

  1.  1 minus 32 x plus 496 x squared minus horizontal ellipsis
  2.  4 minus 32 x plus 496 x squared plus horizontal ellipsis
  3.  1 minus 32 x minus 496 x squared minus horizontal ellipsis
  4. 1 plus 32 x plus 496 x squared plus horizontal ellipsis

hintHint:

Simply use the bionomial expansion to solve the above expansion.

The correct answer is: 1 plus 32 x plus 496 x squared plus horizontal ellipsis


    STEP BY STEP SOLUTION
    open parentheses 1 plus x close parentheses to the power of 32
T h e space f i r s t space 4 space t e r m s space o f space t h e space e x p a n s i o n space i s
C presuperscript 32 subscript 0 space 1 to the power of 32 space x to the power of 0 space plus C presuperscript 32 subscript 1 space 1 to the power of 31 space x to the power of 1 space plus scriptbase C subscript 2 end scriptbase presuperscript 32 space 1 to the power of 30 space x squared space plus scriptbase C subscript 3 space 1 to the power of 29 space x cubed space end scriptbase presuperscript 32
    1 plus 32 x plus 496 x squared plus horizontal ellipsis

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