Simplify complex expressions using algebraic rules step-by-step
Frequently Asked Questions (FAQ)
How do you multiply complex numbers?
To multiply two complex numbers z1 = a + bi and z2 = c + di, use the formula: z1 * z2 = (ac - bd) + (ad + bc)i.
What is a complex number?
A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1. The number a is called the real part of the complex number, and the number bi is called the imaginary part.
Is 0 is a complex number?
0 is a complex number, it can be expressed as 0+0i
How do you add complex numbers?
To add two complex numbers, z1 = a + bi and z2 = c + di, add the real parts together and add the imaginary parts together: z1 + z2 = (a + c) + (b + d)i
How do you subtract complex numbers?
To subtract two complex numbers, z1 = a + bi and z2 = c + di, subtract the real parts and the imaginary parts separately: z1 - z2 = (a - c) + (b - d)i