Question

Which of the following is equivalent to the complex number -8(7i - 3i^2)

Answer 1

Answer:  B) -56i - 24

This is the same as -24 - 56i

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Explanation:

The 'i' refers to the imaginary number $\sqrt{-1}$

In other words, $i = \sqrt{-1}$

Squaring both sides gets us $i^2 = -1$

So,

$x = -8(7i - 3i^2)\\\\x = -8(7i - 3(-1))\\\\x = -8(7i + 3)\\\\x = -8(7i) -8(3)\\\\x = -56i -24 \ \ \text{ .... Answer: Choice B}\\\\x = -24 - 56i$

The result is in the form a+bi where a = -24 is the real part and b = -56 is the imaginary part.