$\"\"$

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The standard form of the complex number is $\"\"$ , where $\"\"$ and $\"\"$ are real numbers.

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(a)

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Find cube of 2.

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The complex number is 2 and its cube is $\"\"$ .

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The standard form of complex number is $\"\"$ .

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$\"\"$

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(b)

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Find cube of $\"\"$ .

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The complex number is $\"\"$ and its cube is $\"\"$ .

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Consider $\"\"$ .

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Apply algebraic formula: $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute the values $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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The standard form of complex number is $\"\"$ .

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$\"\"$

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(c)

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Find cube of $\"\"$ .

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The complex number is $\"\"$ and its cube is $\"\"$ .

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Consider $\"\"$ .

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Apply formula: $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute the values $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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The standard form of complex number is $\"\"$ .

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$\"\"$

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(a) The standard form of complex number is $\"\"$ .

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(b) The standard form of complex number is $\"\"$ .

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(c) The standard form of complex number is $\"\"$ .