What is expand (wz+8)^3 ?

The solution to expand (wz+8)^3 is w^3z^3+24w^2z^2+192wz+512

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expand (wz+8)^3

expand

(w z + 8)^{3}

w^{3} z^{3} + 24 w^{2} z^{2} + 192 w z + 512

Solution steps

(w z + 8)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(w z + 8)^{3} = (w z)^{3} + 3 (w z)^{2} \cdot 8 + 3 w z \cdot 8^{2} + 8^{3}

= (w z)^{3} + 3 (w z)^{2} \cdot 8 + 3 w z \cdot 8^{2} + 8^{3}

Simplify

(w z)^{3} + 3 (w z)^{2} \cdot 8 + 3 w z \cdot 8^{2} + 8^{3} : w^{3} z^{3} + 24 w^{2} z^{2} + 192 w z + 512

= w^{3} z^{3} + 24 w^{2} z^{2} + 192 w z + 512

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What is expand (wz+8)^3 ?
The solution to expand (wz+8)^3 is w^3z^3+24w^2z^2+192wz+512