Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 05, 2023

Find the difference equivalent to $9(x-y)$ .

STEP 1

Assumptions
1. We are given the algebraic expression $9(x-y)$ .
2. We need to find a difference that is equivalent to the given product.

STEP 2

Understand that a product of a number and a difference can be expanded using the distributive property of multiplication over subtraction.
$a(b - c) = ab - ac$

STEP 3

Apply the distributive property to the given expression $9(x-y)$ .
$9(x-y) = 9 \cdot x - 9 \cdot y$

STEP 4

Multiply the number 9 by each term inside the parentheses.
$9(x-y) = 9x - 9y$

STEP 5

The expression $9x - 9y$ is the difference equivalent to the product $9(x-y)$ .
So, the difference equivalent to the product shown is $9x - 9y$ .

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