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

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

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expand (x^2+y)^3

expand

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

x^{6} + 3 x^{4} y + 3 x^{2} y^{2} + y^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= x^{6} + 3 x^{4} y + 3 x^{2} y^{2} + y^{3}

25 x^{2} + 90 x y + 81 y^{2}

3 sin^{2} (a) - 6 - 3 cos^{2} (a)

x^{2} + 2 3 x + 3

\frac{1}{2} an - 1 + 1

(3 x^{2} y + 4 x y^{2})^{3}

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