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Popular >

expand (1-x^2)^2

Solution

expand

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

Solution

1 - 2 x^{2} + x^{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 1 - 2 x^{2} + x^{4}

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Frequently Asked Questions (FAQ)

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