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Popular >

factor 16x^4+7x^2+1

Solution

factor

16 x^{4} + 7 x^{2} + 1

Solution

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

Solution steps

16 x^{4} + 7 x^{2} + 1

Add and subtract

x^{2}

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

Factor

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

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

Factor

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

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

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

Popular Examples

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

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(\frac{f}{g}) (1)

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25 x^{12} + 25 x^{6} \cdot y + 25 y^{2}

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\frac{( 3 y ^{2} + 8 y + 4 )}{( y ^{2} - 4 )}

Frequently Asked Questions (FAQ)

What is factor 16x^4+7x^2+1 ?
The solution to factor 16x^4+7x^2+1 is (4x^2+x+1)(4x^2-x+1)