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Popular >

simplify (2+xi)^2

Solution

simplify

(2 + x i)^{2}

Solution

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

Solution steps

(2 + x i)^{2}

Apply Perfect Square Formula:

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

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

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

2^{2} = 4

2 \cdot 2 x i = 4 x i

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

= 4 + 4 x i - x^{2}

Rewrite in standard complex form:

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

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

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Frequently Asked Questions (FAQ)

What is (2+xi)^2 ?
The solution to (2+xi)^2 is (4-x^2)+4xi