(x^2-8x+12)-(x-2)

less than a minute read Jun 17, 2024

Simplifying the Expression: (x² - 8x + 12) - (x - 2)

This article will guide you through the process of simplifying the expression (x² - 8x + 12) - (x - 2).

Step 1: Distribute the Negative Sign

The first step is to distribute the negative sign in front of the second set of parentheses. This means multiplying each term inside the parentheses by -1:

(x² - 8x + 12) -1(x - 2) = x² - 8x + 12 -x + 2

Step 2: Combine Like Terms

Now, we can combine the like terms:

x² - 8x - x + 12 + 2 = x² - 9x + 14

Final Answer

Therefore, the simplified form of the expression (x² - 8x + 12) - (x - 2) is x² - 9x + 14.

Understanding the Steps

By understanding the steps involved in simplifying this expression, you can apply the same principles to other similar expressions. The key is to remember to distribute the negative sign and then combine like terms.