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Popular >

factor 1+2x^2+x^4

Solution

factor

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

Solution

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

Solution steps

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

Write in the standard form

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

Let

u = x^{2}

= u^{2} + 2 u + 1

Factor

u^{2} + 2 u + 1 : (u + 1)^{2}

= (u + 1)^{2}

Substitute back

u = x^{2}

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

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Frequently Asked Questions (FAQ)

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