simplify (16-xi)^2

Solution

simplify

(16 - x i)^{2}

(256 - x^{2}) - 32 x i

Solution steps

(16 - x i)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(16 - x i)^{2} = 1 6^{2} - 2 \cdot 16 x i + (x i)^{2}

= 1 6^{2} - 2 \cdot 16 x i + (x i)^{2}

1 6^{2} = 256

- 2 \cdot 16 x i = - 32 x i

(x i)^{2} = - x^{2}

= 256 - 32 x i - x^{2}

Rewrite in standard complex form:

(256 - x^{2}) - 32 x i

= (256 - x^{2}) - 32 x i

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