Final answer:
The expression (d x 5) - (d x 2) can be rewritten using the distributive property as d * 3.
Step-by-step explanation:
The expression given is (d x 5) - (d x 2). We can apply the distributive property to this expression, which allows us to simplify expressions by distributing a common factor.
The distributive property states that for any numbers a, b, and c, the equation a(b + c) equals ab + ac. Here, we have a subtraction inside the parentheses, but the same rule applies: a(b - c) equals ab - ac. Therefore, using the distributive property of multiplication over subtraction, we combine the terms with the common factor d.
Applying this to our given expression results in:
- d * 5 - d * 2
- d(5 - 2)
- d * 3
In conclusion, by using the distributive property, we can simplify the expression (d x 5) - (d x 2) to d * 3.