Question

which expression is equivalent to 4(3 + 5) - 3·9²?
17 - (27)²
12 + 20 - 54
14·81
(4(8)) - 3·81

Explanation:

Step1: Calculate target expression

First compute inside parentheses, then exponents, multiplication, subtraction:
$$4(3+5)-3\cdot9^2 = 4(8)-3\cdot81 = 32 - 243 = -211$$

Step2: Evaluate option 1

$$17-(27)^2 = 17 - 729 = -712$$

Step3: Evaluate option 2

$$12+20-54 = 32 - 54 = -22$$

Step4: Evaluate option 3

$$14\cdot81 = 1134$$

Step5: Evaluate option 4

$$4(8)-3\cdot81 = 32 - 243 = -211$$

Answer:

$4(8)-3\cdot81$