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Popular >

factor x^6+2x^4+x^2

Solution

factor

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

Solution

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

Solution steps

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

Factor out common term

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

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

Factor

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

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

Apply exponent rule:

aa = a^{2}

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

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

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Frequently Asked Questions (FAQ)

What is factor x^6+2x^4+x^2 ?
The solution to factor x^6+2x^4+x^2 is x^2(x^2+1)^2