Question

Express the following in the standard form a + ib.

(i) 2(i - 3)/(1 + i)²

(ii) (1 + i)(1 - 2i)/(1 + 3i)

(iii) (-3 + i)(4 - 2i)

(iv) (i⁴ + i⁹ + i¹⁶)/(3 - 2i⁸ - i¹⁰ - i¹⁵) 

Answer 1

(i) 2(i - 3)/(1 + i)²

(ii) (1 + i)(1 - 2i)/(1 + 3i)

(iii) (-3 + i)(4 - 2i)

(iv) (i⁴ + i⁹ + i¹⁶)/(3 - 2i⁸ - i¹⁰ - i¹⁵)