(8x^ 2 +3x-4)+(-2x^ 2 +8x)(8x2+3x−4)+(−2x2+8x)

2 min read Jun 16, 2024
(8x^ 2 +3x-4)+(-2x^ 2 +8x)(8x2+3x−4)+(−2x2+8x)

Simplifying Polynomial Expressions

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

(8x² + 3x - 4) + (-2x² + 8x)

Understanding the Steps

To simplify this expression, we'll follow these steps:

  1. Identify Like Terms: Look for terms with the same variable and exponent.
  2. Combine Like Terms: Add or subtract the coefficients of like terms.

Simplifying the Expression

Let's apply the steps to our expression:

1. Identify Like Terms:

  • x² terms: 8x² and -2x²
  • x terms: 3x and 8x
  • Constant terms: -4

2. Combine Like Terms:

  • x² terms: 8x² + (-2x²) = 6x²
  • x terms: 3x + 8x = 11x
  • Constant terms: -4 (remains unchanged)

Final Result

By combining like terms, we obtain the simplified expression:

(8x² + 3x - 4) + (-2x² + 8x) = 6x² + 11x - 4

Conclusion

The simplified form of the given polynomial expression is 6x² + 11x - 4. Remember to always identify and combine like terms to simplify expressions effectively.

Featured Posts