(2+b)⋅5+4(3b−1)

less than a minute read Jun 16, 2024

Simplifying the Expression (2 + b) ⋅ 5 + 4(3b - 1)

This article will guide you through simplifying the expression (2 + b) ⋅ 5 + 4(3b - 1) using the order of operations and the distributive property.

Understanding the Order of Operations

The order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), is crucial for simplifying mathematical expressions.

Applying the Distributive Property

First, we need to apply the distributive property to remove the parentheses:

(2 + b) ⋅ 5: This becomes 10 + 5b
4(3b - 1): This becomes 12b - 4

Combining Like Terms

Now, our expression looks like this: 10 + 5b + 12b - 4

We can combine the terms with 'b' and the constant terms:

5b + 12b = 17b
10 - 4 = 6

Final Simplified Expression

The simplified expression is 17b + 6.

Therefore, (2 + b) ⋅ 5 + 4(3b - 1) is equivalent to 17b + 6.