Question

Express this in a+ib form (1 - i)^4

Answer 1

hey there

here is your ans ..
◆◆◆◆◆◆◆◆

hope its correct
●●●●●●●●●●●●
(1-i)^4
{(1-i)^2}^2
{(1+i^2-2i)}^2
{(1-1-2i)}^2
(-2i)^2
4i^2
(-4)=-4+0i
where a=-4 and b=0

>>this is in the form of a+ib where
a is equal to-4
●●and●●
b is equal to 0
◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆
◆◆◆◆◆◆◆◆◆
◆◆◆◆
◆◆

Answer 2

Hi

here is your answer

★ complex number ★

Q. Express this in a + ib from ( 1 - i )⁴

Answer:-
_______

( 1 - i )⁴

= { ( 1 - i )² }²

= { ( 1 )² - 2.1.( i ) + ( i )²}² [ °.° ( a - b )² = a² - 2ab + b² ]

= ( 1 - 2i - 1 )² [ we know that i ² = -1

= ( - 2i )²

= 4i²

= - 4

so

-4 + i.0 is the answer, where

a = -4

b= 0

Hopes I helped you

thanks

# I am a Useless user .