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Popular >

factor a^4-10a^2+169

Solution

factor

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

Solution

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

Solution steps

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

Add and subtract

36 a^{2}

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

Factor

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

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

Factor

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

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

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Frequently Asked Questions (FAQ)

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