What does $((1+i)*(6-2i))/(4i)$ equal?

Question

What does $((1+i)*(6-2i))/(4i)$ equal?

1 Answer

Impact of this question

1852 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-10-21T13:39:56

$1-2i$

Explanation:

Given equation = $((1+i)(6-2i))/4i$

Expand the numerator

= $(6-2i+6i-2i^2)/(4i)$
= $(6+4i-2(-1))/(4i)$
= $(6+4i+2)/(4i)$
= $(8+4i)/(4i)$
Take 4 as common in numerator
= $(4(2+i))/(4i)$
= $(2+i)/(i)$
multiply numerator and denominator with $i$
= $(2i+i^2)/(i^2)$
= $(2i-1)/(-1)$
= $1-2i$

Science

Math

Humanities

... and beyond

What does $((1+i)*(6-2i))/(4i)$ equal?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What does ((1+i)*(6-2i))/(4i)((1+i)*(6-2i))/(4i) equal?

1 Answer

Explanation:

Related questions

Impact of this question

What does $((1+i)*(6-2i))/(4i)$ equal?