Jasonbradley
Home

(6x^3-4x^2+x-9)-(3x^2+7x+3)

2 min read Jun 16, 2024
(6x^3-4x^2+x-9)-(3x^2+7x+3)

Simplifying Polynomial Expressions

This article will guide you through simplifying the polynomial expression: (6x^3 - 4x^2 + x - 9) - (3x^2 + 7x + 3).

Understanding the Process

To simplify this expression, we need to follow these steps:

  1. Distribute the negative sign: The minus sign in front of the second set of parentheses means we multiply each term inside the second parentheses by -1.

  2. Combine like terms: After distributing, we identify and combine terms that have the same variable and exponent.

Step-by-Step Solution

  1. Distribute the negative sign: (6x^3 - 4x^2 + x - 9) + (-1)(3x^2 + 7x + 3) = 6x^3 - 4x^2 + x - 9 - 3x^2 - 7x - 3

  2. Combine like terms:

    • x^3 terms: 6x^3
    • x^2 terms: -4x^2 - 3x^2 = -7x^2
    • x terms: x - 7x = -6x
    • Constant terms: -9 - 3 = -12

  3. Write the simplified expression: 6x^3 - 7x^2 - 6x - 12

Conclusion

The simplified form of the polynomial expression (6x^3 - 4x^2 + x - 9) - (3x^2 + 7x + 3) is 6x^3 - 7x^2 - 6x - 12.

Related Post

Featured Posts