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Popular >

expand (x^2-2x)^3

Solution

expand

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

Solution

x^{6} - 6 x^{5} + 12 x^{4} - 8 x^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(x^{2})^{3} - 3 (x^{2})^{2} \cdot 2 x + 3 x^{2} (2 x)^{2} - (2 x)^{3} : x^{6} - 6 x^{5} + 12 x^{4} - 8 x^{3}

= x^{6} - 6 x^{5} + 12 x^{4} - 8 x^{3}

Popular Examples

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32 - 8

simplify-8x+9x-x simplify

- 8 x + 9 x - x

\frac{54}{12}

\frac{75}{12}

Frequently Asked Questions (FAQ)

What is expand (x^2-2x)^3 ?
The solution to expand (x^2-2x)^3 is x^6-6x^5+12x^4-8x^3