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Popular >

simplify (x+i)^2

Solution

simplify

(x + i)^{2}

Solution

(x^{2} - 1) + 2 x i

Solution steps

(x + i)^{2}

Apply Perfect Square Formula:

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

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

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

Apply imaginary number rule:

i^{2} = - 1

= x^{2} + 2 x i - 1

Rewrite in standard complex form:

(x^{2} - 1) + 2 x i

= (x^{2} - 1) + 2 x i

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Frequently Asked Questions (FAQ)

What is (x+i)^2 ?
The solution to (x+i)^2 is (x^2-1)+2xi