Question

Prove: The square of a number that is two more than a multiple of 3 is one more than a multiple of 3.

Answer 1

9,12,4 9,12,3,1 3,3,4,1

Explanation:

Answer 2

To prove:

• (3x + 2)² is 3y + 1

Expand the square:

• 9x² + 6x + 4 = (9x² + 6x + 3) + 1 = 3(3x² + 2x + 1) + 1 = 3y + 1

• Proven