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Popular >

factor 16x^4+4x^2+1

Solution

factor

16 x^{4} + 4 x^{2} + 1

Solution

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

Solution steps

16 x^{4} + 4 x^{2} + 1

Add and subtract

4 x^{2}

= 16 x^{4} + 8 x^{2} + 1 - 4 x^{2}

Factor

16 x^{4} + 8 x^{2} + 1 : (4 x^{2} + 1)^{2}

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

Factor

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

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

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

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Frequently Asked Questions (FAQ)

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