Question

drag the tiles to the correct boxes to complete the pairs. match each subtraction of complex numbers to its simplified difference. tiles -2 + i -4 + 3i 1 + i 1 + 9i pairs (7 - 3i) - (6 - 4i) (4 + 3i) - (6 + 2i) (4 + 5i) - (3 - 4i) (5 + 4i) - (9 + i)

Explanation:

Step1: Simplify \((7 - 3i)-(6 - 4i)\)

Subtract the real parts and the imaginary parts separately.
\((7 - 6)+(-3i + 4i)=1 + i\)

Step2: Simplify \((4 + 3i)-(6 + 2i)\)

Subtract real parts and imaginary parts.
\((4 - 6)+(3i - 2i)=-2 + i\)

Step3: Simplify \((4 + 5i)-(3 - 4i)\)

Subtract real and imaginary parts.
\((4 - 3)+(5i+ 4i)=1 + 9i\)

Step4: Simplify \((5 + 4i)-(9 + i)\)

Subtract real and imaginary parts.
\((5 - 9)+(4i - i)=-4 + 3i\)

Answer:

\((7 - 3i)-(6 - 4i)\) pairs with \(1 + i\)
\((4 + 3i)-(6 + 2i)\) pairs with \(-2 + i\)
\((4 + 5i)-(3 - 4i)\) pairs with \(1 + 9i\)
\((5 + 4i)-(9 + i)\) pairs with \(-4 + 3i\)