Evaluate the expression (a − bc) + (4ab + 3bc) + 2(b² − ac) if a = −5, b = 3, and c= 6

Question

Quizplus · Accepted Answer

Step 1: Substitute the numbers into the given expression.
a = −5, b = 3, and c= 6
(a − bc) + (4ab + 3bc) + 2(b² − ac)
(−5 − 3 • 6) + (4 •× −5 • 3 + 3 • 3 • 6) + 2(3² − −5 • 6)
Step 2: Simplify following the order of operations (PEMDAS):
Parentheses and Exponents
(−5 − 3 • 6) + (4 • −5 • 3 + 3 • 3 • 6) + 2(3² − −5 • 6)
(−5 − 3 • 6) + (4 • −5 • 3 + 3 • 3 • 6) + 2(9 − −5 • 6)
(−5 − 18) + (−60 + 54) + 2(9 − −30)
(−23) + (−6) + 2(39)
Multiplication and Division
(−23) + (−6) + 2(39)
−23 + −6 + 78
Addition and Subtraction
−23 + −6 + 78 = 49

Evaluate the Expression (A − Bc) + (4ab + 3bc)