Proofs

A medium difficulty HSC math problem on odd squares and divisibility by 8 with full step-by-step solutions.

A medium difficulty HSC math problem on parity obstruction in pythagorean triples with full step-by-step solutions.

A medium difficulty HSC math problem on parity of a cubed minus a plus one with full step-by-step solutions.

A medium difficulty HSC math problem on parity of a difference of squares with full step-by-step solutions.

A hard difficulty HSC math problem on power difference divisible by x minus y with full step-by-step solutions.