If ω≠1 is a cube root of unity, show that

If ω≠1 is a cube root of unity, show that

$\frac{a + bω + {cω}^{2}}{b + cω + {aω}^{2}} + \frac{a + bω + {cω}^{2}}{c + aω + {bω}^{2}} = - 1$

Match the items on the right to the items on the left.

Step 1

Step 2

Step 3

Step 4

step 1.PNG

step 2.PNG

step 3.PNG