Find the Product and Write the Result in Standard Form $$( 5 + i ) ^ { 2 } - ( 6 - i ) ^ { 2 }$$

Multiple Choice

Find the product and write the result in standard form.
- $$( 5 + i ) ^ { 2 } - ( 6 - i ) ^ { 2 }$$

A) $- 11 + 22 \mathrm { i }$
B) $11 + 22 i$
C) $- 33$
D) $- 11 - 22 \mathrm { i }$ Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula E = IR.