3 years ago

What is (14-3i)(14+3i)

Mathematics

1 answer:

wolverine [178]3 years ago

3 0

<h3>Answer: 205</h3>

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Work Shown:

$(14-3i)(14+3i)\\\\x(14+3i) \ ... \text{ let } x = 14-3i\\\\14(x)+3i(x)\\\\14(14-3i)+3i(14-3i) \ ... \text{ plug in } x = 14-3i\\\\196-42i+42i-9i^2\\\\196-9i^2\\\\196-9(-1)\\\\196+9\\\\205$

Recall that $i = \sqrt{-1}$ is the imaginary unit. Squaring both sides gets us $i^2 = -1$

You can verify the answer using a tool like WolframAlpha.

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