To simplify the expression \(4ab \times 2bc \times d\), you can follow these steps:

### Step 1: Multiply the constants (numerical coefficients)
\[ 4 \times 2 = 8 \]

### Step 2: Multiply the variables
- Combine the variables \(a\), \(b\), \(c\), and \(d\):
- \(b \times b = b^2\) (since \(b\) is repeated)

So, the simplified expression is:
\[ 8a b^2 c d \]

This is the fully simplified version of the expression.

Would you like to explore more details or have any questions?

---

Here are 8 related questions you might find interesting:
1. Would you like to see the steps for distributing the product if it involved addition or subtraction?
2. Are you working on factoring expressions involving variables?
3. Do you need help with more complex expressions involving powers or exponents?
4. Would you like to know how to evaluate the expression if specific values are given for the variables?
5. Are you interested in understanding how to work with polynomials?
6. Do you need assistance with solving equations that involve such expressions?
7. Would you like to explore how to manipulate algebraic expressions for simplification?
8. Are you learning about the properties of exponents and how they apply in multiplication?

**Tip:** When multiplying variables, always remember to combine like terms, especially when variables are repeated (e.g., \(b \times b = b^2\)).

Learn how to simplify the expression 4ab × 2bc × d with a detailed step-by-step solution. This problem involves algebraic manipulation and multiplication of variables, focusing on combining like terms and constants. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation