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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{1}{2 + x} - \frac{1}{2}

25 \cdot 4

2 (\frac{3}{5})

4 w^{2} - 11 w - 3

1 - sin^{2} (a)

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