About Use the given equations in a complete proof of each theorem. Your proof should be expressed in complete English sentences. (a) Theorem: If a, b, and c are integers such that a3|b and b2|c, then a6|c.

(b) Theorem: If m and n are integers such that m|n, then m|(5n3 - 2n2 3n).

(c) Theorem: If n is an odd integer, then 4 divides n2-1.

(d) Theorem:The sum of the squares of any two consecutive integers is odd.