9%2B6m.jpeg "(4m+3)9+6m")
Simplifying the Expression: (4m+3)9+6m
This article will guide you through the process of simplifying the algebraic expression (4m+3)9+6m. We'll use the order of operations (PEMDAS/BODMAS) and the distributive property to achieve a simplified form.
Understanding the Expression
The expression combines multiplication, addition, and a variable (m). Let's break it down:
- (4m+3)9: This represents the multiplication of the term (4m+3) by 9.
- 6m: This is a simple term with a coefficient of 6 and the variable m.
Applying the Distributive Property
The distributive property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
We can apply this to the first part of the expression:
(4m+3)9 = (4m * 9) + (3 * 9)
Simplifying the Expression
Now we can simplify further:
(4m * 9) + (3 * 9) + 6m = 36m + 27 + 6m
Finally, we combine the terms with 'm':
36m + 27 + 6m = 42m + 27
The Simplified Expression
Therefore, the simplified form of the expression (4m+3)9+6m is 42m + 27.
This expression is much easier to work with, especially when solving equations or performing other algebraic operations.