Question

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

Answer 1

Answer:

-x² + 16x - 60

Step-by-step 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