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Perform the indicated operation & simplify. Express the answer as a complex number. ( 12 − 11 i ) 2

Sagot :

varshamittal029

The answer is 24 - 22i

The answer we got is a complex number.

We are asked to find out the multiplication of a complex number and a real number.

The general form of a complex number is a + bi.

If we need to find the product of a complex number and a real number,

then, we need to multiply the real and imaginary parts by the real number and write down the answer.

The real number given is 2.

And the complex number given is 12 - 11i.

The real part of the complex number is 12.

And the imaginary part of the complex number is -11.

When the real part of the complex number is multiplied by the real number, we get 12 × 2 = 24.

When the imaginary part of the complex number is multiplied by the real number, we get (-11) × 2 = -22

Therefore, the required complex number is 24 - 22i

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