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Popular >

factor 4x^4-65x^2+16

Solution

factor

4 x^{4} - 65 x^{2} + 16

Solution

(2 x + 1) (2 x - 1) (x + 4) (x - 4)

Solution steps

4 x^{4} - 65 x^{2} + 16

Let

u = x^{2}

= 4 u^{2} - 65 u + 16

Factor

4 u^{2} - 65 u + 16 : (4 u - 1) (u - 16)

= (4 u - 1) (u - 16)

Substitute back

u = x^{2}

= (4 x^{2} - 1) (x^{2} - 16)

Factor

4 x^{2} - 1 : (2 x + 1) (2 x - 1)

= (2 x + 1) (2 x - 1) (x^{2} - 16)

Factor

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

= (2 x + 1) (2 x - 1) (x + 4) (x - 4)

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Frequently Asked Questions (FAQ)

What is factor 4x^4-65x^2+16 ?
The solution to factor 4x^4-65x^2+16 is (2x+1)(2x-1)(x+4)(x-4)