What is expand (d-4b)^3 ?

The solution to expand (d-4b)^3 is d^3-12d^2b+48db^2-64b^3

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expand (d-4b)^3

expand

(d - 4 b)^{3}

d^{3} - 12 d^{2} b + 48 d b^{2} - 64 b^{3}

Solution steps

(d - 4 b)^{3}

Apply Perfect Cube Formula:

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

(d - 4 b)^{3} = d^{3} - 3 d^{2} \cdot 4 b + 3 d (4 b)^{2} - (4 b)^{3}

= d^{3} - 3 d^{2} \cdot 4 b + 3 d (4 b)^{2} - (4 b)^{3}

Simplify

d^{3} - 3 d^{2} \cdot 4 b + 3 d (4 b)^{2} - (4 b)^{3} : d^{3} - 12 d^{2} b + 48 d b^{2} - 64 b^{3}

= d^{3} - 12 d^{2} b + 48 d b^{2} - 64 b^{3}

48 x^{2} - 12 x^{3} - 24 x^{4}

80 p^{3}

x^{2} + 6 x + 9

6 x^{0}

(x^{2} - \frac{1}{2})^{2}

What is expand (d-4b)^3 ?
The solution to expand (d-4b)^3 is d^3-12d^2b+48db^2-64b^3