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

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

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expand (4x-y)^3

expand

(4 x - y)^{3}

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

Solution steps

(4 x - y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

\frac{32}{7}

(\frac{5}{4} x - \frac{1}{3})^{2}

\frac{5}{6} \div \frac{1}{3}

(- 3 - 5 i) + (1 + 2 i)

\frac{3 x ^{2} + 5 x - 2}{7 x ^{2} + 12 x - 4}

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