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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{8 x ^{2}}{16 x ^{4} + 144 x ^{3}}

2 + 2 + 2

(x^{2} y^{5})^{3}

(x + 3) (3 x^{2} - 4 x - 5)

80 r^{5} s

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