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

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

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expand (y-x^2)^3

expand

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

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

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

5 \cdot 13

(- 6 x^{3}) (7 x^{4})

10 - 6

12 - 9

\frac{- 6 - i}{1 + 3 i}

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