1. The sum of the product of four consecutive integers and 1 is a complete square number. Why? Please explain the reason 2. Simplification (2 - M + 2-2 * 2 - n) / 2 * (2 - N + 3) 3. Factorization (1) (x - 2 + Y - 2) - 4x - 2 * y - 2 (2) 4*(a+b)⌒2-4*(a+b-1/4)

1. The sum of the product of four consecutive integers and 1 is a complete square number. Why? Please explain the reason 2. Simplification (2 - M + 2-2 * 2 - n) / 2 * (2 - N + 3) 3. Factorization (1) (x - 2 + Y - 2) - 4x - 2 * y - 2 (2) 4*(a+b)⌒2-4*(a+b-1/4)

1.(n-2)(n-1)n(n+1)+1=(x^2-x-1)^2