What is the difference of the product of x and y and z

The difference of the product of \( x \) and \( y \), and \( z \), can be expressed mathematically as:

\[
(x \cdot y) - z
\]

This means you first multiply \( x \) and \( y \), and then subtract \( z \) from that product.

For example, if \( x = 3 \), \( y = 4 \), and \( z = 5 \):
\[
(3 \cdot 4) - 5 = 12 - 5 = 7
\]

Would you like further details or examples on this?

Here are 5 related questions:
1. What is the sum of the product of \( x \) and \( y \), and \( z \)?
2. How would you express the product of the sum of \( x \) and \( y \), and \( z \)?
3. What happens if \( z \) is negative in this expression?
4. Can you factor out common terms in expressions like \( (x \cdot y) - z \)?
5. How would this change if you were working with variables in an equation?

**Tip:** Always perform multiplication before addition or subtraction when following the order of operations.

What is the difference of the product of x and y and z?

Learn how to find the difference of the product of x and y, and z with a clear mathematical explanation. This concept covers key arithmetic operations, including multiplication and subtraction, following the order of operations. Suitable for students in Grades 5-7.

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