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

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

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expand (-2x-3y)^3

expand

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

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

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

\frac{37}{60} + \frac{1}{7}

612 - 43

15000

(a + b t)^{3}

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