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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{3}{4} x^{4}

0. 8^{7}

(1) (- 1)

- x - \frac{2}{3} x - \frac{1}{6} x

\frac{lo g _{2} ( 9 )}{lo g _{2} ( 3 )}

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