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

Option: d is the correct answer.

d. Square of a Binomial

Explanation:

Binomial--

Binomial is a expression consisting of two terms.

( since bi basically means two)

Now here we have a identity as:

`(3+6)^2=81`

i.e. there are two terms 3 and 6 which are separated by a addition sign and hence we square this binomial to get the desired value.

Since 6+3=9

and
`(6+3)^2=9^2=81`

Hence, the answer is:

Square of a binomial.

Answer 2

square of a binomial, 3^2 + 2*3*6 +6*2 = 81
option d is right
hope this helps