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

To find the square of the distance between two points A(x1, y1) and B(x2, y2), we use the distance formula squared: d2 = (x2 - x1)2 + (y2 - y1)2. For points A(4, -1) and B(3, 5):

• (3 - 4)2 = (-1)2 = 1
• (5 - (-1))2 = (5 + 1)2 = 62 = 36

Adding these values gives 1 + 36 = 37. Options A, C, and D are incorrect calculations, likely resulting from errors in applying the formula or arithmetic mistakes.