What is factor 11g^4-42g^2t^4-8t^8 ?

The solution to factor 11g^4-42g^2t^4-8t^8 is (11g^2+2t^4)(g+2t^2)(g-2t^2)

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factor 11g^4-42g^2t^4-8t^8

factor

11 g^{4} - 42 g^{2} t^{4} - 8 t^{8}

(11 g^{2} + 2 t^{4}) (g + 2 t^{2}) (g - 2 t^{2})

Solution steps

11 g^{4} - 42 g^{2} t^{4} - 8 t^{8}

Break the expression into groups

= (11 g^{4} + 2 g^{2} t^{4}) + (- 44 g^{2} t^{4} - 8 t^{8})

Factor out

g^{2}

from

11 g^{4} + 2 g^{2} t^{4} : g^{2} (11 g^{2} + 2 t^{4})

Factor out

- 4 t^{4}

from

- 44 g^{2} t^{4} - 8 t^{8} : - 4 t^{4} (11 g^{2} + 2 t^{4})

= g^{2} (11 g^{2} + 2 t^{4}) - 4 t^{4} (11 g^{2} + 2 t^{4})

Factor out common term

11 g^{2} + 2 t^{4}

= (11 g^{2} + 2 t^{4}) (g^{2} - 4 t^{4})

Factor

g^{2} - 4 t^{4} : (g + 2 t^{2}) (g - 2 t^{2})

= (11 g^{2} + 2 t^{4}) (g + 2 t^{2}) (g - 2 t^{2})

49 x^{2} - 36 = 0

- 16 x^{2} + 64 = 0

2 x^{2} - x y - y^{2}

- 3 x^{2} - 8 - 10 x = 3

3 - 6 x \geq 16

What is factor 11g^4-42g^2t^4-8t^8 ?
The solution to factor 11g^4-42g^2t^4-8t^8 is (11g^2+2t^4)(g+2t^2)(g-2t^2)