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  • 29-05-2021
  • Mathematics
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(a+b)⁴ binomial expansion

Respuesta :

blackshades
blackshades blackshades
  • 29-05-2021

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Method Used :-

[tex]Using  \: (a+b) {}^{2} (a+b) {}^{2} and (a+b+c) {}^{2} [/tex]

Expansion :-

[tex](a + b) {}^{4} \\ = [(a+b) {}^{2} ] {}^{2} \\ = (a {}^{2} +2ab+b {}^{2} ) {}^{2} \\ = (a {}^{2} ) {}^{2} +(2ab) {}^{2} +(b {}^{2} ) {}^{2} +2(a {}^{2} )(2ab) +2(2ab) \\ (b {}^{2} )+2(b {}^{2} )(a {}^{2} ) \\ = a {}^{4} +b {}^{4} +4a {}^{3} b+6a {}^{2} b {}^{2} +4ab {}^{3} [/tex]

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