Question

Perform the operations. $$ 4 y(3 y+4)(3 y+4) $$

   Perform the operations.
$$
4 y(3 y+4)(3 y+4)
$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 5, Problem 60

Instant Answer

Solved by Expert Melissa Stefan

03/28/2020

Step 1

The square of a binomial (a+b) is given by the formula a^2 + 2ab + b^2. Applying this formula to our binomial, we get: $$ (3y+4)^2 = (3y)^2 + 2*(3y)*4 + 4^2 = 9y^2 + 24y + 16 $$ Show more…

Show all steps

lock

Thanks for your feedback!

Perform the operations. $$ 4 y(3 y+4)(3 y+4) $$

Play audio

Feedback

Powered by NumerAI

Melissa Stefan and 53 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Distributive Property

The distributive property is a foundational algebraic principle that allows one to multiply a single term by each term inside a parenthesis. It is essential when expanding expressions, as it helps in breaking down and simplifying complex expressions by distributing multiplication over addition or subtraction.

Binomial Expansion

Binomial expansion refers to the process of multiplying two binomials together. This often involves applying formulas like FOIL (First, Outer, Inner, Last) or using the binomial theorem to systematically expand expressions raised to a power. It is crucial for simplifying expressions where a binomial appears more than once or is raised to an exponent.

Combining Like Terms

Combining like terms is the process of consolidating terms in an algebraic expression that have the same variables raised to the same powers. This is a key step in simplifying expanded expressions, ensuring that the final result is expressed in its simplest form.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later