“If point A is (4 -1) and point B is (3 5) what is the square of the distance AB?”

"To find the square of the distance between points A(4 -1) and B(3 5) use the distance formula: distance = √[(x₂-x₁)² + (y₂-y₁)²]. Here (x₁ y₁) = (4 -1) and (x₂ y₂) = (3 5). Calculate: (3-4)² + (5-(-1))² = (-1)² + (6)² = 1 + 36 = 37. The square of the distance is 37. This application of the distance formula is essential in geometry navigation and computer graphics for determining spatial relationships and optimizing designs."