What is factor x^8-4x^4y^4+3y^8 ?

The solution to factor x^8-4x^4y^4+3y^8 is (x^2+y^2)(x+y)(x-y)(x^4-3y^4)

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factor x^8-4x^4y^4+3y^8

factor

x^{8} - 4 x^{4} y^{4} + 3 y^{8}

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

Solution steps

x^{8} - 4 x^{4} y^{4} + 3 y^{8}

Break the expression into groups

= (x^{8} - x^{4} y^{4}) + (- 3 x^{4} y^{4} + 3 y^{8})

Factor out

x^{4}

from

x^{8} - x^{4} y^{4} : x^{4} (x^{4} - y^{4})

Factor out

- 3 y^{4}

from

- 3 x^{4} y^{4} + 3 y^{8} : - 3 y^{4} (x^{4} - y^{4})

= x^{4} (x^{4} - y^{4}) - 3 y^{4} (x^{4} - y^{4})

Factor out common term

x^{4} - y^{4}

= (x^{4} - y^{4}) (x^{4} - 3 y^{4})

Factor

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

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

(n + 3)^{2} + 2 n

k^{r + m} - 4 k^{r} + k^{m} - 4

7.6

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

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

What is factor x^8-4x^4y^4+3y^8 ?
The solution to factor x^8-4x^4y^4+3y^8 is (x^2+y^2)(x+y)(x-y)(x^4-3y^4)