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Popular >

factor x^4-x^2+144

Solution

factor

x^{4} - x^{2} + 144

Solution

(x^{2} + 5 x + 12) (x^{2} - 5 x + 12)

Solution steps

x^{4} - x^{2} + 144

Add and subtract

25 x^{2}

= x^{4} + 24 x^{2} + 144 - 25 x^{2}

Factor

x^{4} + 24 x^{2} + 144 : (x^{2} + 12)^{2}

= (x^{2} + 12)^{2} - 25 x^{2}

Factor

(x^{2} + 12)^{2} - 25 x^{2} : (x^{2} + 12 + 5 x) (x^{2} + 12 - 5 x)

= (x^{2} + 12 + 5 x) (x^{2} + 12 - 5 x)

= (x^{2} + 5 x + 12) (x^{2} - 5 x + 12)

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Frequently Asked Questions (FAQ)

What is factor x^4-x^2+144 ?
The solution to factor x^4-x^2+144 is (x^2+5x+12)(x^2-5x+12)