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Popular >

simplify (x^2+1)^2-4x^2

Solution

simplify

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

Solution

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

Solution steps

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

Expand

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

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

Group like terms

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

Add similar elements:

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

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

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Frequently Asked Questions (FAQ)

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