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

The solution to expand (sqrt(x)+x^2)^3 is xsqrt(x)+3x^3+3x^4sqrt(x)+x^6

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expand (sqrt(x)+x^2)^3

expand

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

x x + 3 x^{3} + 3 x^{4} x + x^{6}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(x)^{3} + 3 (x)^{2} x^{2} + 3 x (x^{2})^{2} + (x^{2})^{3} : x x + 3 x^{3} + 3 x^{4} x + x^{6}

= x x + 3 x^{3} + 3 x^{4} x + x^{6}

(v + Δ v)^{2}

8 (1 + 7) + \frac{8 - 16 7}{9}

(k^{2} - \frac{9}{2})^{2}

\frac{a x + y + ( a x + y ) ^{2} + z ^{2}}{z}

What is expand (sqrt(x)+x^2)^3 ?
The solution to expand (sqrt(x)+x^2)^3 is xsqrt(x)+3x^3+3x^4sqrt(x)+x^6