What is expand (x+i)^2 ?

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

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expand (x+i)^2

expand

(x + i)^{2}

(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}

Simplify

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

- \frac{59}{10} - (- 6)

\frac{40}{360}

- 7 x + 2 x

420 \div 7 \times 2 \div 0.5

5 (x + h)^{2} - (x + h) + 2