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Popular >

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

Solution

factor

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

Solution

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

Solution steps

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

Let

u = x^{2}

= 4 u^{2} - 25 u + 36

Factor

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

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

Substitute back

u = x^{2}

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

Factor

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

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

Factor

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

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

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Frequently Asked Questions (FAQ)

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