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Popular >

simplify (5-2xi)^2

Solution

simplify

(5 - 2 x i)^{2}

Solution

(25 - 4 x^{2}) - 20 x i

Solution steps

(5 - 2 x i)^{2}

Apply Perfect Square Formula:

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

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

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

5^{2} = 25

- 2 \cdot 5 \cdot 2 x i = - 20 x i

(2 x i)^{2} = - 4 x^{2}

= 25 - 20 x i - 4 x^{2}

Rewrite in standard complex form:

(25 - 4 x^{2}) - 20 x i

= (25 - 4 x^{2}) - 20 x i

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Frequently Asked Questions (FAQ)

What is (5-2xi)^2 ?
The solution to (5-2xi)^2 is (25-4x^2)-20xi