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Popular >

factor x^4-25x^2+144

Solution

factor

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

Solution

(x + 3) (x - 3) (x + 4) (x - 4)

Solution steps

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

Let

u = x^{2}

= u^{2} - 25 u + 144

Factor

u^{2} - 25 u + 144 : (u - 9) (u - 16)

= (u - 9) (u - 16)

Substitute back

u = x^{2}

= (x^{2} - 9) (x^{2} - 16)

Factor

x^{2} - 9 : (x + 3) (x - 3)

= (x + 3) (x - 3) (x^{2} - 16)

Factor

x^{2} - 16 : (x + 4) (x - 4)

= (x + 3) (x - 3) (x + 4) (x - 4)

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Frequently Asked Questions (FAQ)

What is factor x^4-25x^2+144 ?
The solution to factor x^4-25x^2+144 is (x+3)(x-3)(x+4)(x-4)