-(a%2B2)-simplified.jpeg "(a+3)-(a+2) Simplified")
Simplifying (a+3) - (a+2)
This expression involves simplifying a subtraction problem with parentheses. Let's break down the process:
Understanding the Expression
The expression (a+3) - (a+2) represents subtracting the quantity (a+2) from the quantity (a+3).
The Distributive Property
To simplify this expression, we need to apply the distributive property. This property states that multiplying a sum by a number is the same as multiplying each term of the sum by the number. In this case, the negative sign in front of the second parenthesis acts as a multiplier.
So, we can rewrite the expression as:
(a + 3) + (-1)(a + 2)
Simplifying the Expression
Now, we can distribute the -1:
(a + 3) + (-1 * a) + (-1 * 2)
This simplifies to:
a + 3 - a - 2
Combining Like Terms
Finally, we can combine the like terms:
(a - a) + (3 - 2)
This results in:
0 + 1
The Solution
Therefore, the simplified form of (a+3) - (a+2) is 1.
Important Note: The result of simplifying this expression is a constant value of 1, regardless of the value of 'a'. This highlights that even though the expression initially involves a variable, it simplifies to a constant.