Find the square. Simplify your answer. (3y + 2)^2 ______

Identify the formula: Identify the formula for the square of a binomial. The square of a binomial (a + b)^2 is given by the formula a^2 + 2ab + b^2.Apply the formula: Apply the formula to the given binomial (3y + 2)^2. Here, a = 3y and b = 2. So, (3y + 2)^2 = (3y)^2 + 2*(3y)*(2) + (2)^2.Calculate each term: Calculate each term of the expansion separately. (3y)^2 = 9y^2, 2*(3y)*(2) = 12y, and (2)^2 = 4.Combine the calculated terms: Combine the calculated terms to get the final simplified expression. (3y + 2)^2 = 9y^2 + 12y + 4.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the square. Simplify your answer. $\newline$ $(3y + 2)^2$ $\newline$ ______

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials: special cases

Full solution

Q. Find the square. Simplify your answer.

\newline

(3y + 2)^2

\newline

______

Identify the formula: Identify the formula for the square of a binomial. $\newline$ The square of a binomial $(a + b)^2$ is given by the formula $a^2 + 2ab + b^2$ .
Apply the formula: Apply the formula to the given binomial $(3y + 2)^2$ . $\newline$ Here, $a = 3y$ and $b = 2$ . So, $(3y + 2)^2 = (3y)^2 + 2 \cdot (3y) \cdot (2) + (2)^2$ .
Calculate each term: Calculate each term of the expansion separately. $\newline$ $(3y)^2 = 9y^2$ , $2 \cdot (3y) \cdot (2) = 12y$ , and $(2)^2 = 4$ .
Combine the calculated terms: Combine the calculated terms to get the final simplified expression. $\newline$ $(3y + 2)^2 = 9y^2 + 12y + 4$ .