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

The solution to expand (-x-3)^3 is -x^3-9x^2-27x-27

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expand (-x-3)^3

expand

(- x - 3)^{3}

- x^{3} - 9 x^{2} - 27 x - 27

Solution steps

(- x - 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(- x)^{3} - 3 (- x)^{2} \cdot 3 + 3 (- x) \cdot 3^{2} - 3^{3} : - x^{3} - 9 x^{2} - 27 x - 27

= - x^{3} - 9 x^{2} - 27 x - 27

x^{3 - 2 y} \cdot x^{- 2 y}

\frac{( 9 m ^{\frac{1}{2}} \cdot n ^{\frac{3}{2}} )}{( m ^{- 7} \cdot n \cdot ( m ^{3} \cdot n ) ^{\frac{1}{2}} )}

(2 x + y)^{3} + 8 (x + y)^{3}

\frac{( - 32 x ^{5} + 24 x ^{4} - 56 x ^{3} )}{( - 8 x ^{4} )}

(\frac{2 x - 2}{x})^{3}