Factorize : x8-y8

Matching exercise

    
Match the items on the right to the items on the left.
Step 1
Step 2
Step 3
Step 4
Step 5
Step 6
Step 7
Step 8
x8-y8=x42-y42
=x4-y4x4+y4
=x22-y22x4+y4
=x2+y2x2+y2x4+y4
=x+yx-yx2+y2x4+y4
=x+yx-yx2+y2x22+y22+2x2y2-2x2y2
=x+yx-yx2+y2x2+y22-2xy2
=x+yx-yx2+y2x2+y2-2xyx2+y2+2xy