this is all that im given for the question please help in any way

In this question we will consider the space X = [0, 1] x [0, 1] equipped with the equiv- alence relation ~ depicted below. = = Let Xo X/ ~ denote the point Xo = [(0,0)). Define paths 7,8: [0, 1] X/ ^ by the + ~ rules y(t) = [(t,0)) and 8(t) = [(0,t)] for t [0,1]. Note that 7 and 8 both start and end at 80. Let c, d 71(X, xo) be their path-homotopy classes c = (y), d = [S]. (a) Give formulas for the paths y* 8 and 8*7. [2] (b) Show that the paths y*d and 8*y are path-homotopic; then prove that cd=d.c in 71(X, 20). [3 (c) Compute the fundamental group of X. [1] Recall from the notes the definition of the one-point union Sl v S. (d) Let x be a point of X. Show that Sl v Sl is a deformation retract for the space Y = X\{c}. [5] In this question we will consider the space X = [0, 1] x [0, 1] equipped with the equiv- alence relation ~ depicted below. = = Let Xo X/ ~ denote the point Xo = [(0,0)). Define paths 7,8: [0, 1] X/ ^ by the + ~ rules y(t) = [(t,0)) and 8(t) = [(0,t)] for t [0,1]. Note that 7 and 8 both start and end at 80. Let c, d 71(X, xo) be their path-homotopy classes c = (y), d = [S]. (a) Give formulas for the paths y* 8 and 8*7. [2] (b) Show that the paths y*d and 8*y are path-homotopic; then prove that cd=d.c in 71(X, 20). [3 (c) Compute the fundamental group of X. [1] Recall from the notes the definition of the one-point union Sl v S. (d) Let x be a point of X. Show that Sl v Sl is a deformation retract for the space Y = X\{c}. [5]