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

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

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expand (2x^2-y^3)^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(s - 2) (s + 3)

4 (x + 3)

cos (2 x + x)

- 1 - i 3

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

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