What is expand \exists x(x^3=-1) ?

The solution to expand \exists x(x^3=-1) is \exists x^4=-\exists x

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expand \exists x(x^3=-1)

expand

\exists x (x^{3} = - 1)

\exists x^{4} = - \exists x

Solution steps

\exists x (x^{3} = - 1)

= \exists x (= x^{3} - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = \exists x, b = x^{3} =, c = 1

\exists x x^{3} = - \exists x \cdot 1

\exists x^{3} x = - 1\exists x

Simplify

\exists x^{3} x = - 1\exists x : \exists x^{4} = - \exists x

\exists x^{4} = - \exists x

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What is expand \exists x(x^3=-1) ?
The solution to expand \exists x(x^3=-1) is \exists x^4=-\exists x