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

The solution to expand (3x-4y)^3 is 27x^3-108x^2y+144xy^2-64y^3

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expand (3x-4y)^3

expand

(3 x - 4 y)^{3}

27 x^{3} - 108 x^{2} y + 144 x y^{2} - 64 y^{3}

Solution steps

(3 x - 4 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 x)^{3} - 3 (3 x)^{2} \cdot 4 y + 3 \cdot 3 x (4 y)^{2} - (4 y)^{3} : 27 x^{3} - 108 x^{2} y + 144 x y^{2} - 64 y^{3}

= 27 x^{3} - 108 x^{2} y + 144 x y^{2} - 64 y^{3}

(y^{2} - 3 y) (y^{2} + 3 y)

(m + n) (m - n)

- 8^{\frac{2}{3}}

\frac{15}{45}

(a^{3})^{- 2}

What is expand (3x-4y)^3 ?
The solution to expand (3x-4y)^3 is 27x^3-108x^2y+144xy^2-64y^3