Question

(14x4 -x3 + 2x2 + 5x + 15) - (10x4 + 3x3 - 6x + 4)

Answer 1

4x⁴ - 4x³ + 2x² + 11x + 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Terms/Coefficients/Degrees

Explanation:

Step 1: Define

(14x⁴ - x³ + 2x² + 5x + 15) - (10x⁴ + 3x³ - 6x + 4)

Step 2: Simplify

1. Distribute negative: 14x⁴ - x³ + 2x² + 5x + 15 - 10x⁴ - 3x³ + 6x - 4
2. Combine like terms (x⁴): 4x⁴ - x³ + 2x² + 5x + 15 - 3x³ + 6x - 4
3. Combine like terms (x³): 4x⁴ - 4x³ + 2x² + 5x + 15 + 6x - 4
4. Combine like terms (x): 4x⁴ - 4x³ + 2x² + 11x + 15 - 4
5. Combine like terms (Z): 4x⁴ - 4x³ + 2x² + 11x + 11