What is expand z^2(1-z^2)(1+z^2) ?

The solution to expand z^2(1-z^2)(1+z^2) is z^2-z^6

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expand z^2(1-z^2)(1+z^2)

expand

z^{2} (1 - z^{2}) (1 + z^{2})

z^{2} - z^{6}

Solution steps

z^{2} (1 - z^{2}) (1 + z^{2})

Expand

z^{2} (1 - z^{2}) (1 + z^{2}) : z^{2} (1 - z^{4})

= z^{2} (1 - z^{4})

Apply the distributive law:

a (b - c) = ab - a c

z^{2} (1 - z^{4}) = z^{2} \cdot 1 - z^{2} z^{4}

= z^{2} \cdot 1 - z^{2} z^{4}

Simplify

z^{2} \cdot 1 - z^{2} z^{4} : z^{2} - z^{6}

= z^{2} - z^{6}

9 y^{6} - 576

\frac{8 x ^{3} - 1}{4 x ^{2} - 1}

9604

- 8 + v - 2 v

\frac{b}{2 b + 1} - \frac{2 b}{b - 2}

What is expand z^2(1-z^2)(1+z^2) ?
The solution to expand z^2(1-z^2)(1+z^2) is z^2-z^6