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Popular >

expand z(a(z^2-a^2))

Solution

expand

z (a (z^{2} - a^{2}))

Solution

a z^{3} - a^{3} z

Solution steps

z (a (z^{2} - a^{2}))

Remove parentheses:

(a) = a

= z a (z^{2} - a^{2})

= a z (z^{2} - a^{2})

Apply the distributive law:

a (b - c) = ab - a c

a = z a, b = z^{2}, c = a^{2}

= z a z^{2} - z a a^{2}

= a z^{2} z - a^{2} a z

Simplify

a z^{2} z - a^{2} a z : a z^{3} - a^{3} z

= a z^{3} - a^{3} z

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Frequently Asked Questions (FAQ)

What is expand z(a(z^2-a^2)) ?
The solution to expand z(a(z^2-a^2)) is az^3-a^3z