Express the complex numbers in the form of a - ib-1-3-7-3 i -4-1-3 i -4-3- i -

Given complex number is,( ( 1/3+7/3 i ) ( 4+1/3i ) ) ( 4/3 +i )= 1/3+7/3 i 4 1/3i+ 4/3 i= ( 1/3 4+4/3 ) + ( 7/3 1/3 1 )i=(1 12+4/3)+(7 1 3/3)i=( 7/3)+(3/ ...

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Byju's Answer

Standard VIII

Mathematics

Identities of Mathematical Operations

Express the c...

Question

Express the complex numbers in the form of $a + i b$ :

$((\frac{1}{3} + \frac{7}{3} i) - (4 + \frac{1}{3} i)) - (\frac{- 4}{3} + i)$

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Solution

Given complex number is,
$((\frac{1}{3} + \frac{7}{3} i) - (4 + \frac{1}{3} i)) - (\frac{- 4}{3} + i)$
$= \frac{1}{3} + \frac{7}{3} i - 4 - \frac{1}{3} i + \frac{4}{3} - i$
$= (\frac{1}{3} - 4 + \frac{4}{3}) + (\frac{7}{3} - \frac{1}{3} - 1) i$
$= (\frac{1 - 12 + 4}{3}) + (\frac{7 - 1 - 3}{3}) i$
$= (\frac{- 7}{3}) + (\frac{3}{3}) i$
$= \frac{- 7}{3} + i$
It is in the form of $a + i b$ .
$((\frac{1}{3} + \frac{7}{3} i) - (4 + \frac{1}{3} i)) - (\frac{- 4}{3} + i) = \frac{- 7}{3} + i$

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Express the complex numbers in the form of a+ib: ((13+73i)−(4+13i))−(−43+i)

Given complex number is,((13+73i)−(4+13i))−(−43+i)=13+73i−4−13i+43−i=(13−4+43)+(73−13−1)i=(1−12+43)+(7−1−33)i=(−73)+(33)i=−73+iIt is in the form of a+ib.((13+73i)−(4+13i))−(−43+i)=−73+i

Express the complex numbers in the form of $a + i b$ :

$((\frac{1}{3} + \frac{7}{3} i) - (4 + \frac{1}{3} i)) - (\frac{- 4}{3} + i)$