3 years ago

Which expression is equivalent to (4 + 6i)2? –20 + 48i 8 + 12i 16 – 36i 20 + 48i

Mathematics

2 answers:

Elenna [48]3 years ago

8 0

<h3>Answer: Choice A) -20+48i</h3>

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Work Shown:

x = (4+6i)^2

x = (4+6i)(4+6i)

x = y(4+6i) ...... let y = 4+6i

x = 4(y)+6i(y) ..... distribute

x = 4(4+6i)+6i(4+6i) .... plug in y = 4+6i

x = 16+24i+24i+36i^2 ..... distribute again

x = 16+24i+24i+36(-1) .... use the fact that i^2 = -1

x = 16+24i+24i-36

x = 16-36+24i+24i

x = -20+48i

schepotkina [342]3 years ago

8 0

Answer:

A -20+28i

Step-by-step explanation:

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