Answer:
-x² + 16x - 60
Step-by-step explanation:
Given expression:
Step 1. Insert brackets to isolate the "-" from the (x - 8)².
⇒ -(x - 8)² + 4
⇒ -[(x - 8)²] + 4
Step 2. Use the formula (a - b)² = a² - 2ab + b²
⇒ -[(x - 8)²] + 4
⇒ -[x² - 2(x)(8) + 8²] + 4
Step 3. Open the parenthesis
⇒ -[x² - 2(x)(8) + 8²] + 4
⇒ -x² + 2(x)(8) - 8² + 4
Step 4. Simplify as needed
⇒ -x² + 16(x) - 64 + 4
⇒ -x² + 16x - 60
