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(3+4i)-(6-10 i)= Express your answer in the form (a+bi).

(3+4i)−(6−10i)= (3+4 i)-(6-10 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .

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Composition of linear functions: find an equationright chevron icon

Full solution

Q. (3+4i)−(6−10i)= (3+4 i)-(6-10 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
  1. Perform subtraction for real and imaginary parts: Now, perform the subtraction for the real parts and the imaginary parts.\newline(3−6)+(4i−(−10i))=−3+14i(3-6) + (4i-(-10i)) = -3 + 14i
  2. Combine imaginary parts: Combine the imaginary parts.\newline−3+4i+10i=−3+(4+10)i-3 + 4i + 10i = -3 + (4+10)i
  3. Simplify the imaginary part: Simplify the imaginary part.\newline−3+(4+10)i=−3+14i-3 + (4+10)i = -3 + 14i
  4. Write the final answer: Write the final answer in the form (a+bi)(a+bi).\newlineThe final answer is −3+14i-3 + 14i.

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