What is factor 25x^4-109x^2+36 ?

The solution to factor 25x^4-109x^2+36 is (5x+3)(5x-3)(x+2)(x-2)

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factor 25x^4-109x^2+36

factor

25 x^{4} - 109 x^{2} + 36

(5 x + 3) (5 x - 3) (x + 2) (x - 2)

Solution steps

25 x^{4} - 109 x^{2} + 36

Let

u = x^{2}

= 25 u^{2} - 109 u + 36

Factor

25 u^{2} - 109 u + 36 : (25 u - 9) (u - 4)

= (25 u - 9) (u - 4)

Substitute back

u = x^{2}

= (25 x^{2} - 9) (x^{2} - 4)

Factor

25 x^{2} - 9 : (5 x + 3) (5 x - 3)

= (5 x + 3) (5 x - 3) (x^{2} - 4)

Factor

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

= (5 x + 3) (5 x - 3) (x + 2) (x - 2)

\frac{21}{11}

- \frac{8}{27} - \frac{8}{81}

\frac{2}{3} \cdot 1^{\frac{3}{2}}

8 j^{8}

What is factor 25x^4-109x^2+36 ?
The solution to factor 25x^4-109x^2+36 is (5x+3)(5x-3)(x+2)(x-2)