simplify (25-xi)^2

Solution

simplify

(25 - x i)^{2}

(625 - x^{2}) - 50 x i

Solution steps

(25 - x i)^{2}

Apply Perfect Square Formula:

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

(25 - x i)^{2} = 2 5^{2} - 2 \cdot 25 x i + (x i)^{2}

= 2 5^{2} - 2 \cdot 25 x i + (x i)^{2}

2 5^{2} = 625

- 2 \cdot 25 x i = - 50 x i

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

= 625 - 50 x i - x^{2}

Rewrite in standard complex form:

(625 - x^{2}) - 50 x i

= (625 - x^{2}) - 50 x i

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