Factorize : x4-x-z4

Matching exercise

    
Match the items on the right to the items on the left.
Step 1
Step 2
Step 3
Step 4
Step 5
x4-x-z4=x22-x-z2
=x2+x-z2x2-x-z2
=x2+x2-2xz+z2x+x-zx-x-z
=2x2-2xz+z2(x+x-z)(x-x+z)
=2x2-2xz+z2(2x-z)(z)