Write the following numbers in a + bi form:
(a) (2 - 5i)^2 = [ ] + [ ]i
(b) i(π - 3i) = [ ] + [ ]i
(c) (-5 + 3i) / i = [ ] + [ ]i

Question

Write the following numbers in a + bi form: (a) (2 - 5i)^2 = [ ] + [ ]i (b) i(π - 3i) = [ ] + [ ]i (c) (-5 + 3i) / i = [ ] + [ ]i

SnapAndSolve AI · Accepted Answer

(a) (2 - 5i)^2 = (2 - 5i)(2 - 5i) = 4 - 20i - 20i + 25i^2 = 4 - 40i - 25 = -21 - 40i. So, -21 + (-40)i. (b) i(π - 3i) = iπ - 3i^2 = iπ + 3 (since i^2 = -1). So, 3 + πi. (c) (-5 + 3i) / i = (-5 + 3i) * (-i) / (i * -i) = (5i - 3) / -1 = 3 - 5i. So, 3 + (-5)i.

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Write the following numbers in a + bi form: (a) (2 - 5i)^2 = [ ] + [ ]i (b) i(π - 3i) = [ ] + [ ]i (c) (-5...

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