Q. (7−10i)−(3+30i)=Express your answer in the form (a+bi).
Write down complex numbers: Write down the given complex numbers and the operation to be performed.We are given two complex numbers, (7−10i) and (3+30i), and we need to subtract the second one from the first one.
Perform subtraction of real and imaginary parts: Perform the subtraction by subtracting the real parts and the imaginary parts separately.Subtract the real part of the second complex number from the real part of the first complex number: 7−3.Subtract the imaginary part of the second complex number from the imaginary part of the first complex number: −10i−30i.
Calculate subtraction of real parts: Calculate the subtraction of the real parts. 7−3=4
Calculate subtraction of imaginary parts: Calculate the subtraction of the imaginary parts. −10i−30i=−40i
Combine results in (a+bi) form: Combine the results of the real part and the imaginary part to express the answer in the form (a+bi).The result of the subtraction is 4 (from the real parts) and −40i (from the imaginary parts), so the answer in the form (a+bi) is 4−40i.