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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

2 x^{3} - x^{2} - 20 x + 10

\frac{1}{x} - \frac{1}{x + 3}

a^{2} + 33 a + 252

\frac{2 ^{x}}{2}

x^{4} - 4 x^{3} - x^{2} + 16 x - 12

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