What is expand (3x^2+x)^3 ?

The solution to expand (3x^2+x)^3 is 27x^6+27x^5+9x^4+x^3

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expand (3x^2+x)^3

expand

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

27 x^{6} + 27 x^{5} + 9 x^{4} + x^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 x^{2})^{3} + 3 (3 x^{2})^{2} x + 3 \cdot 3 x^{2} x^{2} + x^{3} : 27 x^{6} + 27 x^{5} + 9 x^{4} + x^{3}

= 27 x^{6} + 27 x^{5} + 9 x^{4} + x^{3}

(\frac{4 a}{5 - 2})^{3}

x^{2} + 2 x + x + 2

22 \cdot x^{3} + 33 \cdot y^{3}

\frac{b - 2019}{10 - 2001 - 12}

3 x^{2} - 5 x y + 2 y^{2}

What is expand (3x^2+x)^3 ?
The solution to expand (3x^2+x)^3 is 27x^6+27x^5+9x^4+x^3