-(2%2B5i)-in-a%2Bbi-form.jpeg "(-8+3i)-(2+5i) In A+bi Form")
Simplifying Complex Numbers: (-8 + 3i) - (2 + 5i)
In this article, we will simplify the expression (-8 + 3i) - (2 + 5i) and express the result in the standard form a + bi, where a and b are real numbers.
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, defined as the square root of -1.
Simplifying the Expression
To simplify the given expression, we need to distribute the negative sign and combine the real and imaginary terms separately.
Step 1: Distribute the negative sign: (-8 + 3i) - (2 + 5i) = -8 + 3i - 2 - 5i
Step 2: Combine the real terms: -8 - 2 = -10
Step 3: Combine the imaginary terms: 3i - 5i = -2i
Step 4: Combine the results: -10 - 2i
Final Answer
Therefore, the simplified expression (-8 + 3i) - (2 + 5i) in the form a + bi is -10 - 2i.