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

The solution to expand (2x^2+y)^3 is 8x^6+12x^4y+6x^2y^2+y^3

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expand (2x^2+y)^3

expand

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

8 x^{6} + 12 x^{4} y + 6 x^{2} y^{2} + y^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 x^{2})^{3} + 3 (2 x^{2})^{2} y + 3 \cdot 2 x^{2} y^{2} + y^{3} : 8 x^{6} + 12 x^{4} y + 6 x^{2} y^{2} + y^{3}

= 8 x^{6} + 12 x^{4} y + 6 x^{2} y^{2} + y^{3}

n^{0.1} + (n - 1) \cdot 0.2 + (n - 2) \cdot 0.3 + (n - 3) \cdot 0.4

(x^{2} - 2 x + 3) \cdot (x - 4)

2 y^{3} - 5 y^{2} - 19 y + 42

27 (m + 2 n)^{3} - (m - 6 n)^{3}

(a - 5 b)^{2} - 16 b^{2}

What is expand (2x^2+y)^3 ?
The solution to expand (2x^2+y)^3 is 8x^6+12x^4y+6x^2y^2+y^3