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Evaluate the expression (-4+1i)-(2+7i) and write the result in the form a+bi.
The real number a equals _____
The real number b equals _____

Evaluate the expression (4+1i)(2+7i) (-4+1 i)-(2+7 i) and write the result in the form a+bi a+b i .\newlineThe real number a a equals _____\_\_\_\_\_\newlineThe real number b b equals _____\_\_\_\_\_

Full solution

Q. Evaluate the expression (4+1i)(2+7i) (-4+1 i)-(2+7 i) and write the result in the form a+bi a+b i .\newlineThe real number a a equals _____\_\_\_\_\_\newlineThe real number b b equals _____\_\_\_\_\_
  1. Subtract Real and Imaginary Parts: To evaluate the expression (4+1i)(2+7i)(-4+1i)-(2+7i), we need to subtract the real parts and the imaginary parts separately.\newlineCalculation: (42)+(1i7i)=66i(-4 - 2) + (1i - 7i) = -6 - 6i
  2. Calculate Result: Now we have the expression in the form a+bia+bi, where aa is the real part and bb is the coefficient of the imaginary part.\newlineThe real number aa equals 6-6.\newlineThe real number bb equals 6-6.