What is expand (x^5-3ay^2)^2 ?

The solution to expand (x^5-3ay^2)^2 is x^{10}-6ax^5y^2+9a^2y^4

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expand (x^5-3ay^2)^2

expand

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

x^{10} - 6 a x^{5} y^{2} + 9 a^{2} y^{4}

Solution steps

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

Apply Perfect Square Formula:

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

(x^{5} - 3 a y^{2})^{2} = (x^{5})^{2} - 2 x^{5} \cdot 3 a y^{2} + (3 a y^{2})^{2}

= (x^{5})^{2} - 2 x^{5} \cdot 3 a y^{2} + (3 a y^{2})^{2}

Simplify

(x^{5})^{2} - 2 x^{5} \cdot 3 a y^{2} + (3 a y^{2})^{2} : x^{10} - 6 a x^{5} y^{2} + 9 a^{2} y^{4}

= x^{10} - 6 a x^{5} y^{2} + 9 a^{2} y^{4}

8 + (- 4)

(4 - i) (2 - 3 i)

(x + 4)^{3}

(x^{2} + 9)^{2} + 9

\frac{1}{0 !}

What is expand (x^5-3ay^2)^2 ?
The solution to expand (x^5-3ay^2)^2 is x^{10}-6ax^5y^2+9a^2y^4