Question

(i) z^3- 1, z - 1 Divide the expression​

Answer 1

z3 - 1 ÷ z-1

solve:

by using the formula a3-b3=( a-b) (a2+ab+b2)

(z^3) - (1^3) = (z-1) ( z^2 + z +1)

now,( z^3 - 1 ) / (z-1)

= ( z-1) ( z^2 + z+1)

(z-1)

= z^2 + z + 1 , is the correct answer.