Evaluate the expression ( a³ + b³ + 3ab) −6ab if a= 2, b= 3.

Question

Quizplus · Accepted Answer

Step 1: Substitute the numbers into the given expression.
a = 2, b = 3
(a³ + b³ + 3ab) −6ab
(2³ + 3³ + 3 × 2 × 3) −6(2)(3)
Step 2: Simplify following the order of operations (PEMDAS):
Parentheses and Exponents.
(2³ + 3³ + 3 × 2 × 3) −6(2)(3)
(8 + 27 + 3 × 2 × 3) −6(2)(3)
(8 + 27 + 18) −6(2)(3)
(53) −6(2)(3)
Multiplication and Division.
(53) −6(2)(3)
53 − 36
Addition and Subtraction.
53 − 36 = 17

Evaluate the Expression ( A³ + B³ + 3ab) −6ab