(-2y^5+y^3-2y)-(y^5-4y^3+6)

Jasonbradley

2 min read

·

Jun 16, 2024

27

Share

Simplifying Polynomial Expressions

This article will guide you through the process of simplifying the following polynomial expression:

(-2y^5 + y^3 - 2y) - (y^5 - 4y^3 + 6)

Understanding the Steps

1. Distribute the negative sign: The minus sign in front of the second set of parentheses indicates that we need to multiply each term inside the parentheses by -1.
2. Combine like terms: Once the negative sign is distributed, we can combine terms with the same variable and exponent.

Simplifying the Expression

Let's apply these steps to our expression:

1. Distribute the negative sign:

• (-2y^5 + y^3 - 2y) + (-1 * y^5) + (-1 * -4y^3) + (-1 * 6)
• -2y^5 + y^3 - 2y - y^5 + 4y^3 - 6

2. Combine like terms:
   • (-2y^5 - y^5) + (y^3 + 4y^3) - 2y - 6
   • -3y^5 + 5y^3 - 2y - 6

The Simplified Expression

Therefore, the simplified form of the polynomial expression (-2y^5 + y^3 - 2y) - (y^5 - 4y^3 + 6) is -3y^5 + 5y^3 - 2y - 6.