What is expand (x^4-2x^2)^2-1 ?

The solution to expand (x^4-2x^2)^2-1 is x^8-4x^6+4x^4-1

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expand (x^4-2x^2)^2-1

expand

(x^{4} - 2 x^{2})^{2} - 1

x^{8} - 4 x^{6} + 4 x^{4} - 1

Solution steps

(x^{4} - 2 x^{2})^{2} - 1

Apply Perfect Square Formula:

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

(x^{4} - 2 x^{2})^{2} = (x^{4})^{2} - 2 x^{4} \cdot 2 x^{2} + (2 x^{2})^{2}

= (x^{4})^{2} - 2 x^{4} \cdot 2 x^{2} + (2 x^{2})^{2} - 1

Simplify

(x^{4})^{2} - 2 x^{4} \cdot 2 x^{2} + (2 x^{2})^{2} : x^{8} - 4 x^{6} + 4 x^{4}

= x^{8} - 4 x^{6} + 4 x^{4} - 1

1863 - 220603 - 48575 k

(x + y)^{20}

1^{\frac{1}{n}}

1 - 2 sin^{2} (a)

(\frac{a - 1}{a})^{6}

What is expand (x^4-2x^2)^2-1 ?
The solution to expand (x^4-2x^2)^2-1 is x^8-4x^6+4x^4-1