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

-4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

2x³y³ + 3xy - 3x³y³ + x²y - xy + 2x²y

x = -1

y = 2

Step 2: Evaluate

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

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