Math Problem Statement

Expand and simplify 5(2a + 3) + 4

Solution

The expression in the image you've uploaded is:

5(2a+3)+45(2a + 3) + 4

Let's expand and simplify it.

Step 1: Expand the brackets

We will distribute the 55 to both terms inside the parentheses:

5×2a+5×3+45 \times 2a + 5 \times 3 + 4

This gives:

10a+15+410a + 15 + 4

Step 2: Combine like terms

Now, we combine the constants 1515 and 44:

10a+1910a + 19

So, the expanded and simplified expression is:

10a+1910a + 19

Would you like further details or have any other questions?

Here are 5 related questions:

  1. What is the distributive property in algebra?
  2. How do you simplify expressions with variables and constants?
  3. How do you solve equations involving variables like aa?
  4. What happens if you have more than two terms in parentheses to distribute?
  5. How do you factor expressions like 10a+1910a + 19?

Tip: When expanding expressions, always remember to distribute each term in the parentheses across the outside term, and then combine like terms for simplification.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

a(b + c) = ab + ac

Theorems

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Suitable Grade Level

Grades 6-8