Question

Find the value of the polynomial 2x3y3+3xy−3x3y3+x2y−xy+2x2y, for x=−1 and y=2.

Answer 1

-4

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

Explanation:

Step 1: Define

2x³y³ + 3xy - 3x³y³ + x²y - xy + 2x²y

x = -1

y = 2

Step 2: Evaluate

1. Substitute: 2(-1)³(2)³ + 3(-1)(2) - 3(-1)³(2)² + (-1)²(2) + 2(-1)²(2)
2. Exponents: 2(-1)(8) + 3(-1)(2) - 3(-1)(4) + 1(2) + 2(1)(2)
3. Multiply: -16 - 6 + 12 + 2 + 4
4. Subtract: -22 + 12 + 2 + 4
5. Add: -10 + 2 + 4
6. Add: -8 + 4
7. Add: -4