What is expand (pi+i)^2 ?

The solution to expand (pi+i)^2 is (pi^2-1)+2pii

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expand (pi+i)^2

expand

(π + i)^{2}

(π^{2} - 1) + 2 πi

Solution steps

(π + i)^{2}

Apply Perfect Square Formula:

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

a = π, b = i

= π^{2} + 2 πi + i^{2}

Apply imaginary number rule:

i^{2} = - 1

= π^{2} + 2 πi - 1

Rewrite

π^{2} + 2 πi - 1

in standard complex form:

(π^{2} - 1) + 2 πi

= (π^{2} - 1) + 2 πi

\frac{z}{( z - 1 ) ^{2}}

(x^{2} - y) y^{''} (x)

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

\frac{( z + J ^{2} ) ( z - 14 ) 5}{z - 14 + J ^{2}}

(x - cos (\frac{2 π}{7})) (x - cos (\frac{4 π}{7})) (x - cos (\frac{6 π}{7}))