What is expand (1+2i\mid)^2 ?

The solution to expand (1+2i\mid)^2 is (1-4\mid ^2)+4i\mid

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expand (1+2i\mid)^2

expand

(1 + 2 i ∣)^{2}

(1 - 4 ∣^{2}) + 4 i ∣

Solution steps

(1 + 2 i ∣)^{2}

Apply Perfect Square Formula:

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

a = 1, b = 2 i ∣

= 1^{2} + 2 \cdot 1 \cdot 2 i ∣ + (2 i ∣)^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot 2 i ∣ + (2 i ∣)^{2} : 1 + 4 i ∣ - 4 ∣^{2}

= 1 + 4 i ∣ - 4 ∣^{2}

Rewrite

1 + 4 i ∣ - 4 ∣^{2}

in standard complex form:

(1 - 4 ∣^{2}) + 4 ∣ i

= (1 - 4 ∣^{2}) + 4 ∣ i

(- 4, - 5) y (1, 3)

\frac{( 8 + ( - 1 ) ^{n} )}{n}

\frac{2 x ^{3} ( x + 4 ) ^{3}}{x + 2}

- \frac{14}{( x + 1 ) ^{3}}

y^{2} (1 + x) d y + x^{2} (1 - y)

What is expand (1+2i\mid)^2 ?
The solution to expand (1+2i\mid)^2 is (1-4\mid ^2)+4i\mid