Question

(c-5)(c-1)-(c-6)²=......

Answer 1

(c-5)(c-1)-(c-6)²=c²-5c-c+5-(c²-12c+36)=6c-31

Answer 2

Let's simplify the expression step by step:

1. Expand the squared term: (c - 5)(c - 1) - (c - 6)² = (c² - c - 5c + 5) - (c² - 12c + 36)

2. Distribute the negative sign across the second expression: (c² - c - 5c + 5) - (c² - 12c + 36) = c² - c - 5c + 5 - c² + 12c - 36

3. Combine like terms: (c² - c²) + (-5c + 12c) + (5 - 36) = 11c - 31

So, the simplified expression is: 11c - 31