Question

vii) (1+i)^3
eXpress the following in the form of a+in, a,bRi=√-1. State the values of a and b ​

Answer 1

Answer:

-2+2i

Step-by-step explanation:

${x + y}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)$

Use that formula

1+i^3+3i(1+i)

= 1-i+3i+3i^2

i^2 = -1

Use value of i^2 and simplify