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Popular >

expand (x^3-2)^3

Solution

expand

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

Solution

x^{9} - 6 x^{6} + 12 x^{3} - 8

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(x^{3})^{3} - 3 (x^{3})^{2} \cdot 2 + 3 x^{3} \cdot 2^{2} - 2^{3} : x^{9} - 6 x^{6} + 12 x^{3} - 8

= x^{9} - 6 x^{6} + 12 x^{3} - 8

Popular Examples

simplify-6b-9-10b-8 simplify

- 6 b - 9 - 10 b - 8

factor 3b^3+26b^2+16b factor

3 b^{3} + 26 b^{2} + 16 b

factor 2x^2-24x+72 factor

2 x^{2} - 24 x + 72

factor 10a^2+2a^3b factor

10 a^{2} + 2 a^{3} b

simplify (5/2)\times (5/3)simplify

(\frac{5}{2}) \times (\frac{5}{3})

Frequently Asked Questions (FAQ)

What is expand (x^3-2)^3 ?
The solution to expand (x^3-2)^3 is x^9-6x^6+12x^3-8