What is factor x^8+14x^4y^2+24y^4 ?

The solution to factor x^8+14x^4y^2+24y^4 is (x^4+2y^2)(x^4+12y^2)

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factor x^8+14x^4y^2+24y^4

factor

x^{8} + 14 x^{4} y^{2} + 24 y^{4}

(x^{4} + 2 y^{2}) (x^{4} + 12 y^{2})

Solution steps

x^{8} + 14 x^{4} y^{2} + 24 y^{4}

Break the expression into groups

= (x^{8} + 2 x^{4} y^{2}) + (12 x^{4} y^{2} + 24 y^{4})

Factor out

x^{4}

from

x^{8} + 2 x^{4} y^{2} : x^{4} (x^{4} + 2 y^{2})

Factor out

12 y^{2}

from

12 x^{4} y^{2} + 24 y^{4} : 12 y^{2} (x^{4} + 2 y^{2})

= x^{4} (x^{4} + 2 y^{2}) + 12 y^{2} (x^{4} + 2 y^{2})

Factor out common term

x^{4} + 2 y^{2}

= (x^{4} + 2 y^{2}) (x^{4} + 12 y^{2})

6 - ∣ 4 + 4 x ∣ = - 5

\frac{20 !}{3 ! ( 20 - 3 ) !}

6 + 65

7 k^{2} + 57 k + 8 = 0

0 = - 16 t^{2} + 32 t + 8

What is factor x^8+14x^4y^2+24y^4 ?
The solution to factor x^8+14x^4y^2+24y^4 is (x^4+2y^2)(x^4+12y^2)