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Popular >

simplify (x^2-1)^2-x^2

Solution

simplify

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

Solution

x^{4} - 3 x^{2} + 1

Solution steps

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

Expand

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

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

Group like terms

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

Add similar elements:

- 2 x^{2} - x^{2} = - 3 x^{2}

= x^{4} - 3 x^{2} + 1

Popular Examples

factor 12a^2b^2-3ab factor

12 a^{2} b^{2} - 3 ab

simplify 14+9 simplify

14 + 9

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30 x^{2} + 17 x y - 21 y^{2}

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23 - 7

expand (3y-7)(3y+7)expand

(3 y - 7) (3 y + 7)

Frequently Asked Questions (FAQ)

What is (x^2-1)^2-x^2 ?
The solution to (x^2-1)^2-x^2 is x^4-3x^2+1