Algebra II: Adding and Subtracting Complex Numbers
This is a free lesson from our course in Algebra II
 
   
In this lesson you'll explore how to add or subtract complex numbers.You'll find here some examples with solution, and the instructor explains all that with the help of audio, video presentation and in own hand writing.
Complex numbers are added, subtracted, and multiplied by applying the associative, commutative and distributive laws, together with i = -1.To add complex numbers we make use of a technique that you  have seen before. This involves collecting together like terms. Let's start by adding two algebraic expressions. Suppose we want to add 6 + 2t and 4 + 3t. The terms 6 and 4 are simply numbers. The terms 2t and 3t both contain t and are like terms. We collect the like terms together and simplify. So 6 + 2t + 4 + 3t =    (6 + 4) + (2t + 3t) = 10 + 5t.(More text below video...)
<h2> Adding and Subtracting Complex Numbers - Watch video (Algebra II)</h2> <p> video, AlgebraII, practice questions, quizzes, subject, math help, complex numbers, add complex numbers, subtract complex numbers, operations on complex numbers, associative law, commutative law, distributive property, example.</p> <p> To add complex numbers, add the real parts together and the imaginary parts together. Similarly, to subtract two complex numbers subtract the real parts and then subtract the imaginary parts.</p>
Other useful lessons:
Imaginary Unit
Plotting complex numbers on a 2D plane
Multiply and Divide the complex numbers
Classification of roots using the discriminant
Solving quadratic equation with imaginary roots
(Continued from above) Adding complex numbers works in exactly the same way. All you have to do is to add together the real parts and add together the imaginary parts of the two complex numbers to get the answer. Subtraction works in a very similar way. You have to subtract together the real parts and subtract together the imaginary parts of the two complex numbers to get the answer.If z1 = a1 + ib1 and z2 = a2 + ib2 be two complex number, then  
     z1 + z2 = (a1 + a2) + i(b1 + b2) and z1 - z2 = (a1 - a2) + i(b1 - b2). For example, if z1 = 4 + 7i and z2 = 6 + 9i
     z1 + z2=(4 + 7i) + (6 + 9i)=(4 + 6) + i(7 + 9) = 10 + 16i
     z1 - z2=(4 + 7i) - (6 + 9i)=(4 - 6) + i(7 - 9) = -2 - 2i
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