What is expand (a+8y)^3 ?

The solution to expand (a+8y)^3 is a^3+24ya^2+192ay^2+512y^3

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expand (a+8y)^3

expand

(a + 8 y)^{3}

a^{3} + 24 y a^{2} + 192 a y^{2} + 512 y^{3}

Solution steps

(a + 8 y)^{3}

Apply Perfect Cube Formula:

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

(a + 8 y)^{3} = a^{3} + 3 a^{2} \cdot 8 y + 3 a (8 y)^{2} + (8 y)^{3}

= a^{3} + 3 a^{2} \cdot 8 y + 3 a (8 y)^{2} + (8 y)^{3}

Simplify

a^{3} + 3 a^{2} \cdot 8 y + 3 a (8 y)^{2} + (8 y)^{3} : a^{3} + 24 y a^{2} + 192 a y^{2} + 512 y^{3}

= a^{3} + 24 y a^{2} + 192 a y^{2} + 512 y^{3}

(a^{2} \cdot b^{3})^{3} \cdot (a^{2} \cdot b)^{2}

(x^{4})^{7}

8 s^{3} t^{3} + 64 s^{6} t^{6}

(a - 5)^{3}

16 x + 28 y

What is expand (a+8y)^3 ?
The solution to expand (a+8y)^3 is a^3+24ya^2+192ay^2+512y^3