Question

Can someone simplify this?? ty!
-(x-8)²+4

Answer 1

-x² + 16x - 60

Explanation:

Given expression:

• -(x - 8)² + 4

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