Evaluate the expression (a − bc)(3a + b² + 3c) + 2bc if a= 4, b= 1, and c= 2.

Question

Quizplus · Accepted Answer

Step 1: Substitute the numbers into the given expression.
a = 4, b = 1, and c = 2
(a − bc)(3a + b² + 3c) + 2bc
(4 − 1 • 2)(3 • 4 + 1² + 3 • 2) + 2(1)(2)
Step 2: Simplify following the order of operations (PEMDAS):
Parentheses and Exponents
(4 − 1 • 2)(3 • 4 + 1² + 3 • 2) + 2(1)(2)
(4 − 2)(12 + 1 + 6) + 2(1)(2)
(2)(19) + 2(1)(2)
Multiplication and Division
(2)(19) + 2(1)(2)
38 + 4
Addition and Subtraction
38 + 4 = 42

Evaluate the Expression (A − Bc)(3a + B² + 3c)