Proofs

Prove by deduction that the product of two odd numbers is odd

Prove by deduction that the difference between the squares of any consecutive integers is equal to the sum of these two integers

Prove that x 2 + 4x + 5 is positive for all values of x

Prove that the sum of the squares of two consecutive odd numbers is two more than a multiple of 8

Prove that if three consecutive integers are the sides of a right - angles triangles, they must be 3.4 and 5.

Prove that n squared + n is even for all integers n

Prove that all values n squared + 2 is not divisible by 2

Prove that all cube numbers are either a multiple of 9 or 1 more or 1 less than a multiple of 9

disprove the statement n squared - n + 41 is a prime for all integers n

if m and n are irrational, where m is not equal to n , then m n is also irrational, Disprove this statement by means of counterexample ?