What is expand (x-4y)^3 ?

The solution to expand (x-4y)^3 is x^3-12x^2y+48xy^2-64y^3

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expand (x-4y)^3

expand

(x - 4 y)^{3}

x^{3} - 12 x^{2} y + 48 x y^{2} - 64 y^{3}

Solution steps

(x - 4 y)^{3}

Apply Perfect Cube Formula:

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

(x - 4 y)^{3} = x^{3} - 3 x^{2} \cdot 4 y + 3 x (4 y)^{2} - (4 y)^{3}

= x^{3} - 3 x^{2} \cdot 4 y + 3 x (4 y)^{2} - (4 y)^{3}

Simplify

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

= x^{3} - 12 x^{2} y + 48 x y^{2} - 64 y^{3}

(33)^{3}

\frac{1}{8} \div 6

t^{2} + t^{2}

x^{3} - 7 x^{2} + 16 x - 112

f (x) 2 x + 1

What is expand (x-4y)^3 ?
The solution to expand (x-4y)^3 is x^3-12x^2y+48xy^2-64y^3