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Popular >

expand (-3x-2)^3

Solution

expand

(- 3 x - 2)^{3}

Solution

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

Solution steps

(- 3 x - 2)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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