CRHenry373 CRHenry373
  • 19-08-2018
  • Mathematics
contestada

Determine the first term of the binomial expansion (x + y)4.

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sqdancefan
sqdancefan sqdancefan
  • 19-08-2018

The first term is x⁴.

_____

The remaining terms are +4x³y + 6x²y² +4xy³ +y⁴.

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a5904640
a5904640 a5904640
  • 19-08-2018

[tex] (a + b)^n=a^n+\binom{n}{1}a^{n-1}b+\binom{n}{2}a^{n-2}b^2+...
[/tex]


So,


The first term of the binomial expansion [tex](x + y)^4[/tex] is


[tex](x + y)^4 = x^4 + \binom{4}{1}x^{4-1}y+...[/tex]


We only need the first term, so, the first term of the binomial expansion [tex](x + y)^4[/tex] is [tex]x^4[/tex]

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