Show that points A(-1, 1), B(p, p2), and C(1, 2p-1) are collinear.

a) To show that the points $A(-1, 1)$, $B(p, p^2)$, and $C(1, 2p-1)$ are collinear, we can calculate the area of the triangle formed by these three points. If the area is zero, the points are collinear.

Step 1: Write down the coordinates of the points.
$A(x_1, y_1) = (-1, 1)$
$B(x_2, y_2) = (p, p^2)$
$C(x_3, y_3) = (1, 2p-1)$

Step 2: Use the formula for the area of a triangle given its vertices.

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