What is expand (3x-2y)^3 ?

The solution to expand (3x-2y)^3 is 27x^3-54x^2y+36xy^2-8y^3

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expand (3x-2y)^3

expand

(3 x - 2 y)^{3}

27 x^{3} - 54 x^{2} y + 36 x y^{2} - 8 y^{3}

Solution steps

(3 x - 2 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 x)^{3} - 3 (3 x)^{2} \cdot 2 y + 3 \cdot 3 x (2 y)^{2} - (2 y)^{3} : 27 x^{3} - 54 x^{2} y + 36 x y^{2} - 8 y^{3}

= 27 x^{3} - 54 x^{2} y + 36 x y^{2} - 8 y^{3}

a^{2}

(5 x - 3)^{2}

(x - 4) (x + 2)

\frac{x + 9}{x ^{2} - 81}

\frac{2021}{2020} - \frac{2020}{2021}

What is expand (3x-2y)^3 ?
The solution to expand (3x-2y)^3 is 27x^3-54x^2y+36xy^2-8y^3