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Popular >

factor x^4+2x^2+9

Solution

factor

x^{4} + 2 x^{2} + 9

Solution

(x^{2} + 2 x + 3) (x^{2} - 2 x + 3)

Solution steps

x^{4} + 2 x^{2} + 9

Add and subtract

4 x^{2}

= x^{4} + 6 x^{2} + 9 - 4 x^{2}

Factor

x^{4} + 6 x^{2} + 9 : (x^{2} + 3)^{2}

= (x^{2} + 3)^{2} - 4 x^{2}

Factor

(x^{2} + 3)^{2} - 4 x^{2} : (x^{2} + 3 + 2 x) (x^{2} + 3 - 2 x)

= (x^{2} + 3 + 2 x) (x^{2} + 3 - 2 x)

= (x^{2} + 2 x + 3) (x^{2} - 2 x + 3)

Popular Examples

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\frac{2}{24}

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(6 + 3 i) (- 2 - 6 i)

\frac{7}{10}

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(x + y)^{2}

simplify-2x+2x simplify

- 2 x + 2 x

Frequently Asked Questions (FAQ)

What is factor x^4+2x^2+9 ?
The solution to factor x^4+2x^2+9 is (x^2+2x+3)(x^2-2x+3)