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Express (5-3i)^3in the form a + i b....

Express `(5-3i)^3`in the form `a + i b`.

Text Solution

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we have
`(5−3i)^3=5^3−3×5^2×3i+3×5×(3i)^2−(3i)^3 `
=`125−3×25×3i+3×5×9i^2−27i^3`
=`125−225i−135+27i`
[`i^2`=−1]
=`−10−198i`
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