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Popular >

factor 81m^8+2m^4+1

Solution

factor

81 m^{8} + 2 m^{4} + 1

Solution

(9 m^{4} + 1 + 4 m^{2}) (9 m^{4} + 1 - 4 m^{2})

Solution steps

81 m^{8} + 2 m^{4} + 1

Add and subtract

16 m^{4}

= 81 m^{8} + 18 m^{4} + 1 - 16 m^{4}

Factor

81 m^{8} + 18 m^{4} + 1 : (9 m^{4} + 1)^{2}

= (9 m^{4} + 1)^{2} - 16 m^{4}

Factor

(9 m^{4} + 1)^{2} - 16 m^{4} : (9 m^{4} + 1 + 4 m^{2}) (9 m^{4} + 1 - 4 m^{2})

= (9 m^{4} + 1 + 4 m^{2}) (9 m^{4} + 1 - 4 m^{2})

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Frequently Asked Questions (FAQ)

What is factor 81m^8+2m^4+1 ?
The solution to factor 81m^8+2m^4+1 is (9m^4+1+4m^2)(9m^4+1-4m^2)