### Which Law Would You Use to Simplify the Expression mc007-1.jpg?

Title: Which Law Would You Use to Simplify the Expression mc007-1.jpg?

Introduction:
In the world of mathematics, simplifying expressions is a fundamental skill that allows us to manipulate and solve complex equations more efficiently. However, knowing which law or rule to apply can sometimes be challenging. In this article, we will explore the expression mc007-1.jpg and discuss the appropriate law to simplify it. Additionally, we will address frequently asked questions to provide further clarity on this topic.

Understanding the Expression:
Before diving into simplification methods, let’s decipher the given expression, mc007-1.jpg. The expression appears to be a combination of numbers, variables, and mathematical operations. To simplify it, we need to apply a relevant law that will help us reduce the complexity.

Applying the Distributive Law:
The Distributive Law is a fundamental principle in mathematics that allows us to simplify expressions containing parentheses. It states that for any numbers a, b, and c:

a x (b + c) = (a x b) + (a x c)

By utilizing the Distributive Law, we can remove the parentheses and simplify the given expression. Let’s apply this law step by step:

mc007-1.jpg
= 4x(3x – 2) – 2(5 – 2x)
= 4(3x) – 4(2) – 2(5) + 2(2x)
= 12x – 8 – 10 + 4x
= 12x + 4x – 8 – 10
= 16x – 18

Therefore, the simplified expression for mc007-1.jpg is 16x – 18.

FAQs:

Q1. Can the Distributive Law be applied to expressions with more than two terms within parentheses?
Yes, the Distributive Law can be applied to expressions with more than two terms within parentheses. It allows us to distribute each term within the parentheses to every term outside the parentheses.