Question

Subtract (-4+6i) from (1-4i)

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{5 - 10i}}}}}$

Step-by-step explanation:

There are two methods to find out the addition and subtraction of algebraic expressions. In horizontal method, expressions are arranged in same row and put sign for addition or sign for subtraction and remove the bracket and then simplify. In vertical method, expressions are arranged in different rows such that like terms are in same volume and unlike in different columns and simplify.

So, I am going to use these both methods.

In a vertical arrangement ,

( See attached picture)

( While subtracting , sign of each term of the second expression changes )

Next method,

In a horizontal arrangement, we have

$\sf{1 - 4i - ( - 4 + 6i)}$

⇒$\sf{1 - 4i + 4 - 6i}$

⇒$\sf{1 + 4 - 4i - 6i}$

⇒$\sf{5 - 10i}$

Hope I helped!

Best regards!!