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Popular >

expand (-x^2+1)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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