What is expand (a+ib)^2+a+ib ?

The solution to expand (a+ib)^2+a+ib is (a^2-b^2+a)+(2ab+b)i

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expand (a+ib)^2+a+ib

expand

(a + ib)^{2} + a + ib

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

Solution steps

(a + ib)^{2} + a + ib

= (a + ib)^{2} + a + bi

Expand

(a + ib)^{2} : a^{2} + 2 abi - b^{2}

= a^{2} + 2 abi - b^{2} + a + bi

Rewrite in standard complex form:

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

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

(2 sin (x) - 2) (2 cos (x) + 1)

\frac{- 5}{7} (x + 8)

\frac{- 1 + 65}{8}

75 \cdot 93

e^{y} \cdot (y^{2} - x^{2})

What is expand (a+ib)^2+a+ib ?
The solution to expand (a+ib)^2+a+ib is (a^2-b^2+a)+(2ab+b)i