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Popular >

factor x^4-10x^2+169

Solution

factor

x^{4} - 10 x^{2} + 169

Solution

(x^{2} + 6 x + 13) (x^{2} - 6 x + 13)

Solution steps

x^{4} - 10 x^{2} + 169

Add and subtract

36 x^{2}

= x^{4} + 26 x^{2} + 169 - 36 x^{2}

Factor

x^{4} + 26 x^{2} + 169 : (x^{2} + 13)^{2}

= (x^{2} + 13)^{2} - 36 x^{2}

Factor

(x^{2} + 13)^{2} - 36 x^{2} : (x^{2} + 13 + 6 x) (x^{2} + 13 - 6 x)

= (x^{2} + 13 + 6 x) (x^{2} + 13 - 6 x)

= (x^{2} + 6 x + 13) (x^{2} - 6 x + 13)

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Frequently Asked Questions (FAQ)

What is factor x^4-10x^2+169 ?
The solution to factor x^4-10x^2+169 is (x^2+6x+13)(x^2-6x+13)