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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

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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