Solve (5-3i)^3 - ScanMath

Evaluate

(5 - 3 i)^{3}

Use (a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3} to expand the expression

5^{3} - 3 \times 5^{2} \times 3 i + 3 \times 5 (3 i)^{2} - (3 i)^{3}

Evaluate

125 - 3 \times 5^{2} \times 3 i + 3 \times 5 (3 i)^{2} - (3 i)^{3}

Evaluate

More Steps

125 - 225 i + 3 \times 5 (3 i)^{2} - (3 i)^{3}

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More Steps

125 - 225 i - 135 - (3 i)^{3}

Evaluate

More Steps

125 - 225 i - 135 + 27 i

Solution

- 10 - 198 i

Simplify the expression