Question

Simplify each expression. $\frac{4 w+4}{3} \cdot \frac{1}{w+1}$

   Simplify each expression.
$\frac{4 w+4}{3} \cdot \frac{1}{w+1}$

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 8, Problem 27

Instant Answer

Solved by Expert Elizabeth Xu

03/04/2020

Step 1

So, the expression becomes $\frac{4}{3} \cdot \frac{1}{w+1}$. Show more…

Show all steps

lock

Thanks for your feedback!

Simplify each expression. $\frac{4 w+4}{3} \cdot \frac{1}{w+1}$

Play audio

Feedback

Powered by NumerAI

Elizabeth Xu and 64 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

Factoring Polynomials

Factoring polynomials involves expressing a polynomial as a product of its factors. This process is essential when simplifying rational expressions because it helps identify common factors that can be cancelled, thereby simplifying the expression and revealing its underlying structure.

Common Factor Cancellation

Common factor cancellation is a process where identical factors in the numerator and denominator of a fraction are divided out. This is a key step in simplifying algebraic expressions, reducing them to their simplest form, provided that the factors are not equal to zero.

Rational Expressions

Rational expressions are fractions where both the numerator and the denominator are polynomials. They often require operations such as multiplication, division, addition, and subtraction, and simplifying these expressions is a fundamental skill in algebra.

Multiplication of Fractions

Multiplying rational expressions involves multiplying the numerators together and the denominators together. This technique is based on the arithmetic rules for fractions and is used to combine separate fractions into one simplified expression.

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