Question

Expand the square of a binomial (9y+2)^2

Answer 1

We will solve the following:

`(9y+2)^2=81y^2+36y+4`

***Explanation***

We will have that in order to expand a polynomial of the form:

`(a+b)^2`

We will proceed by using the following rule:

`(a+b)^2=a^2+2ab+b^2`

In our case the solution for the given polynomial is [Step by step]:

`(9y+2)^2=(9y)^2+2(9y)(2)+(2)^2`
`\Rightarrow(9y+2)^2=81y^2+36y+4`