Question

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

Answer 1

D. square of binomial

(9)2 nine to the second power is 81

hope this helps

Answer 2

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

`=(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`

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