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  • Which of the following can NOT be expressed as a binomial theorem?Option: 1 <img alt="x^3+3x^2+3x+1" src="https://learn.careers360.com/latex-image/?x

Which of the following can NOT be expressed as a binomial theorem?

Option: 1

x^3+3x^2+3x+1


Option: 2

a^5+5a^4+10a^3b^3+10a^2b^3+5ab^4+b^5


Option: 3

x^3+3x^2y-9xy^2+27y^3


Option: 4

All of them can be expressed


Answers (1)

best_answer

As we learnt

 

Binomial Theorem -

 

When Binomial Expression is raised to the power of n .

- wherein

Where n can be +ve, -ve or a fraction

 

 

x^3+3x^2+3x+1=(x+1)^3

a^5+5ba^4+10a^3b^2+10a^2b^3+5ab^4+b^5= \left ( a+b \right )^5

But, 

x^3+3x^2y-9xy^2+27y^3 can' be expressed as a binomial.

If we had   x^3-3x^2y+9xy^2+27y^3

 we would get \left (x-3y \right )^{3}

Posted by

Ajit Kumar Dubey

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