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$