What is factor x^6+c^2x^4+c^4x^2+c^6 ?

The solution to factor x^6+c^2x^4+c^4x^2+c^6 is (x^2+c^2)(x^4+c^4)

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factor x^6+c^2x^4+c^4x^2+c^6

factor

x^{6} + c^{2} x^{4} + c^{4} x^{2} + c^{6}

(x^{2} + c^{2}) (x^{4} + c^{4})

Solution steps

x^{6} + c^{2} x^{4} + c^{4} x^{2} + c^{6}

= (x^{6} + x^{4} c^{2}) + (x^{2} c^{4} + c^{6})

Factor out

x^{4}

from

x^{6} + x^{4} c^{2} : x^{4} (x^{2} + c^{2})

Factor out

c^{4}

from

x^{2} c^{4} + c^{6} : c^{4} (x^{2} + c^{2})

= x^{4} (x^{2} + c^{2}) + c^{4} (x^{2} + c^{2})

Factor out common term

x^{2} + c^{2}

= (x^{2} + c^{2}) (x^{4} + c^{4})

3 s^{4} t + 3 s^{3} t - 6 s^{2} t

7 x = 4

2 x + 4 \leq 5

1 6^{n} < 8^{n + 1}

x^{2} + 5 x < 0

What is factor x^6+c^2x^4+c^4x^2+c^6 ?
The solution to factor x^6+c^2x^4+c^4x^2+c^6 is (x^2+c^2)(x^4+c^4)