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Which polynomial identity will prove that (3 + 6)2 = 81?
A) Difference of Squares
B) Difference of Cubes
C) Sum of Cubes
D) Square of a Binomial 

Respuesta :

ryannamae09
D. square of binomial

(9)2 nine to the second power is 81 

hope this helps
JeanaShupp

Answer:- D) Square of a Binomial


Explanation:-

  • Binomial is an algebraic expression represent as a sum or difference of two terms.

Here (3+6) is a binomial in terms of algebra.

Now, square of given binomial

[tex]=(3+6)^2\\=3^2+6^2+2(6)(3)....\text{[using identity }(a+b)^2=a^2+b^2+2ab]\\=9+36+36=81[/tex]

Therefore, Square of a Binomial  is the identity which prove that[tex](3+6)^2=81[/tex]

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