(7-3y-y2)-(2y2+1)

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Jun 07, 2024

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Simplifying Algebraic Expressions: (7-3y-y2)-(2y2+1)

In algebra, simplifying expressions is an essential skill to master. It involves combining like terms and rearranging the expression to its simplest form. In this article, we will explore how to simplify the expression (7-3y-y2)-(2y2+1).

Step 1: Distribute the Negative Sign

To start, we need to distribute the negative sign outside the parentheses to the terms inside:

-2y2 - 1 - 7 + 3y + y2

Step 2: Combine Like Terms

Next, we combine the like terms:

-2y2 + y2 = -y2 (combine y2 terms)

-7 + 3y remains the same

-1 remains the same

So, the simplified expression is:

-y2 + 3y - 8

Simplified Expression

The final simplified expression is:

**-y2 + 3y - 8**

By following these steps, we have successfully simplified the expression (7-3y-y2)-(2y2+1) to its simplest form.