What is expand (3x^2-9y^6)^2 ?

The solution to expand (3x^2-9y^6)^2 is 9x^4-54x^2y^6+81y^{12}

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expand (3x^2-9y^6)^2

expand

(3 x^{2} - 9 y^{6})^{2}

9 x^{4} - 54 x^{2} y^{6} + 81 y^{12}

Solution steps

(3 x^{2} - 9 y^{6})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(3 x^{2})^{2} - 2 \cdot 3 x^{2} \cdot 9 y^{6} + (9 y^{6})^{2} : 9 x^{4} - 54 x^{2} y^{6} + 81 y^{12}

= 9 x^{4} - 54 x^{2} y^{6} + 81 y^{12}

9 x^{2} + 4 x - 4 x^{2} - 7

(5 x^{2} y - 6 y)^{2}

5 \frac{1}{4} \div \frac{1}{8}

2^{2} (8) - 4 ∣ 4 - 8 ∣

x^{a} x^{b}

What is expand (3x^2-9y^6)^2 ?
The solution to expand (3x^2-9y^6)^2 is 9x^4-54x^2y^6+81y^{12}