Answer:
Explanation:
To solve the expression 4(-2)² + 8(-2) + 3(-2) + 6, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, Addition and Subtraction - from left to right).
First, we will simplify any calculations within parentheses:
4(-2)² + 8(-2) + 3(-2) + 6
(-2)² is equal to (-2) * (-2), which is 4:
4 * 4 + 8(-2) + 3(-2) + 6
Next, we perform the multiplication:
4 * 4 = 16
Now, we have:
16 + 8(-2) + 3(-2) + 6
Next, we continue with the multiplication:
8(-2) = -16
3(-2) = -6
Now, we have:
16 + (-16) + (-6) + 6
Finally, we simplify the addition and subtraction from left to right:
16 + (-16) = 0
0 + (-6) = -6
-6 + 6 = 0
Therefore, the expression 4(-2)² + 8(-2) + 3(-2) + 6 simplifies to 0.