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

The solution to expand (3x^2-y^3)^2 is 9x^4-6x^2y^3+y^6

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(3 x^{2})^{2} - 2 \cdot 3 x^{2} y^{3} + (y^{3})^{2} : 9 x^{4} - 6 x^{2} y^{3} + y^{6}

= 9 x^{4} - 6 x^{2} y^{3} + y^{6}

(- 7 + 7 i) - (3 + 2 i) - (i)

\frac{2}{8 - 7}

(2 x + 3) (2 x + 5)

\frac{x}{3} + \frac{x}{5}

16 x^{2} - a^{2}

What is expand (3x^2-y^3)^2 ?
The solution to expand (3x^2-y^3)^2 is 9x^4-6x^2y^3+y^6