(a+3)-(a+2) Simplified

2 min read Jun 16, 2024
(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.

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