Decide whether each statement is true or false. If false, correct the right side of the equation. (-2+7i) - (10-6i)= -12+i

Key Concepts

Complex Numbers

Complex numbers are numbers that have a real part and an imaginary part, expressed in the form a + bi, where a is the real part and b is the coefficient of the imaginary unit i. Understanding how to manipulate complex numbers is essential for solving equations involving them, including addition, subtraction, multiplication, and division.

Operations with Complex Numbers

When performing operations with complex numbers, it is important to treat the real and imaginary parts separately. For addition and subtraction, combine the real parts and the imaginary parts independently. This concept is crucial for accurately simplifying expressions and determining the truth of equations involving complex numbers.

Equality of Complex Numbers

Two complex numbers are considered equal if their real parts are equal and their imaginary parts are equal. This principle is fundamental when evaluating statements involving complex numbers, as it allows us to determine whether an equation holds true or if corrections are needed.