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Popular >

factor x^4+6x^2+25

Solution

factor

x^{4} + 6 x^{2} + 25

Solution

(x^{2} + 2 x + 5) (x^{2} - 2 x + 5)

Solution steps

x^{4} + 6 x^{2} + 25

Add and subtract

4 x^{2}

= x^{4} + 10 x^{2} + 25 - 4 x^{2}

Factor

x^{4} + 10 x^{2} + 25 : (x^{2} + 5)^{2}

= (x^{2} + 5)^{2} - 4 x^{2}

Factor

(x^{2} + 5)^{2} - 4 x^{2} : (x^{2} + 5 + 2 x) (x^{2} + 5 - 2 x)

= (x^{2} + 5 + 2 x) (x^{2} + 5 - 2 x)

= (x^{2} + 2 x + 5) (x^{2} - 2 x + 5)

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Frequently Asked Questions (FAQ)

What is factor x^4+6x^2+25 ?
The solution to factor x^4+6x^2+25 is (x^2+2x+5)(x^2-2x+5)