What is expand (z^2+pi^2)^2 ?

The solution to expand (z^2+pi^2)^2 is z^4+2pi^2z^2+pi^4

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expand (z^2+pi^2)^2

expand

(z^{2} + π^{2})^{2}

z^{4} + 2 π^{2} z^{2} + π^{4}

Solution steps

(z^{2} + π^{2})^{2}

Apply Perfect Square Formula:

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

a = z^{2}, b = π^{2}

= (z^{2})^{2} + 2 z^{2} π^{2} + (π^{2})^{2}

Simplify

(z^{2})^{2} + 2 z^{2} π^{2} + (π^{2})^{2} : z^{4} + 2 π^{2} z^{2} + π^{4}

= z^{4} + 2 π^{2} z^{2} + π^{4}

\frac{e ^{x} ( x - 3 )}{x ^{4}}

(4 E (x, y) x - 5 E (x, y) y = 14.17) x - 2

\frac{2 x + 2 sin ( 2 x ) ( x ^{2} + 1 )}{cos ( 2 x )}

\frac{( x ^{2} - 3 x - 4 b - 12 )}{x ( x + b )}

s ((s + 0.5) (s + 1) (s^{2} + 0.4 s + 4))

What is expand (z^2+pi^2)^2 ?
The solution to expand (z^2+pi^2)^2 is z^4+2pi^2z^2+pi^4