Which are the rules/steps to solve an*
Examples:
(3+4i)-(2-5i)
(8-6i)+(7+4i)
How would those be solved and do the steps differ?
Thank you.
When simplifying complex numbers, add/subtract the real parts and add/subtract the imaginary parts -- use the same rules that you use to simplify algebraic expressions.
(3 + 4i) - (2 - 5i) = 3 + 4i - 2 + 5i = 3 - 2 + 4i + 5i = 1 + 9i
(8 - 6i) + (7 + 4i) = 8 - 6i + 7 + 4i = 8 + 7 - 6i + 4i = 15 - 2i
When adding/subtracting, you aren't really using the idea that i = √-1.
However, when multiplying/dividing, you will use the idea that i = √-1.
When simplifying complex numbers, add/subtract the real parts and add/subtract the imaginary parts -- use the same rules that you use to simplify algebraic expressions.
(3 + 4i) - (2 - 5i) = 3 + 4i - 2 + 5i = 3 - 2 + 4i + 5i = 1 + 9i
(8 - 6i) + (7 + 4i) = 8 - 6i + 7 + 4i = 8 + 7 - 6i + 4i = 15 - 2i
When adding/subtracting, you aren't really using the idea that i = √-1.
However, when multiplying/dividing, you will use the idea that i = √-1.