%E2%80%A26.jpeg "(7-4n)•6")
Simplifying the Expression (7-4n)•6
This article explores the simplification of the algebraic expression (7-4n)•6.
Understanding the Expression
The expression (7-4n)•6 represents the product of two terms:
- (7-4n) is a binomial expression containing a constant term (7) and a variable term (-4n).
- 6 is a constant term.
Simplifying the Expression
To simplify the expression, we need to apply the distributive property of multiplication. This property states that multiplying a sum by a number is the same as multiplying each term of the sum by the number.
Applying the distributive property:
(7-4n)•6 = 6•(7-4n) = (6•7) - (6•4n)
Simplifying further:
(6•7) - (6•4n) = 42 - 24n
Final Result
Therefore, the simplified form of the expression (7-4n)•6 is 42 - 24n.
Key Takeaways
- The distributive property is a fundamental concept in algebra, allowing us to simplify expressions involving multiplication and sums.
- By applying the distributive property, we can rewrite the original expression in a simpler form, making it easier to understand and manipulate.
- The simplified expression 42 - 24n represents the same value as the original expression (7-4n)•6 for any value of 'n'.