%E2%80%A26-equivalent-expression.jpeg "(7-4n)•6 Equivalent Expression")
Simplifying Expressions: (7-4n)•6
In mathematics, equivalent expressions are different ways of writing the same mathematical idea. Simplifying expressions involves rewriting them in a way that is easier to understand and work with. Let's explore how to simplify the expression (7-4n)•6.
Understanding the Properties
We will use the distributive property to simplify this expression. The distributive property states that:
a•(b + c) = a•b + a•c
In our case, we have:
(7-4n)•6 = 6•(7-4n)
Applying the Distributive Property
Now we apply the distributive property:
6•(7-4n) = (6•7) - (6•4n)
Simplifying
Finally, we perform the multiplications:
(6•7) - (6•4n) = 42 - 24n
Therefore, the simplified equivalent expression for (7-4n)•6 is 42 - 24n.
Conclusion
By using the distributive property, we were able to simplify the expression (7-4n)•6 into a more concise equivalent expression: 42 - 24n. This simplification makes it easier to understand and work with the expression in further mathematical calculations.