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(4x^3-12x^2-5)-(-8x^2+4x+3)

less than a minute read Jun 16, 2024
(4x^3-12x^2-5)-(-8x^2+4x+3)

Simplifying Polynomial Expressions

This article will guide you through the process of simplifying the polynomial expression: (4x^3 - 12x^2 - 5) - (-8x^2 + 4x + 3)

Understanding the Steps

  1. Distribute the Negative Sign: The minus sign in front of the second set of parentheses means we need to multiply each term inside the parentheses by -1.
  2. Combine Like Terms: After distributing the negative sign, we'll have terms with the same variable and exponent. Combine these terms by adding their coefficients.

Solving the Expression

Step 1: Distribute the Negative Sign

(4x^3 - 12x^2 - 5) + (8x^2 - 4x - 3)

Step 2: Combine Like Terms

4x^3 -12x^2 + 8x^2 -4x - 5 - 3

4x^3 - 4x^2 - 4x - 8

Conclusion

The simplified form of the polynomial expression (4x^3 - 12x^2 - 5) - (-8x^2 + 4x + 3) is 4x^3 - 4x^2 - 4x - 8.

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