Question
Find the first four terms of the expansion .
Hint:
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](data:image/png;base64,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)
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](data:image/png;base64,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)
![1 plus 32 x plus 496 x squared plus horizontal ellipsis](data:image/png;base64,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)
Related Questions to study
If the general term is 91C2 x89, what is the expansion?
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_______ is a factor of 4x2 - 9x + 5.
_______ is a factor of 4x2 - 9x + 5.
Expand.
![left parenthesis 2 x plus y right parenthesis cubed](data:image/png;base64,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)
Expand.
![left parenthesis 2 x plus y right parenthesis cubed](data:image/png;base64,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)
Find the first four terms of the expansion
.
Find the first four terms of the expansion
.
Expand using the binomial theorem.
![left parenthesis 1 plus x right parenthesis squared](data:image/png;base64,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)
Expand using the binomial theorem.
![left parenthesis 1 plus x right parenthesis squared](data:image/png;base64,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)
Use polynomial identities to factor each polynomial
Use polynomial identities to factor each polynomial
Determine the independent term of x7 in the expansion of (3x2 + 4)12.
Determine the independent term of x7 in the expansion of (3x2 + 4)12.
What do we get after factorizing x3+ 8y3+ z3 – 4xyz?
What do we get after factorizing x3+ 8y3+ z3 – 4xyz?