What is factor 8+x^6 ?

The solution to factor 8+x^6 is (x^2+2)(x^4-2x^2+4)

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factor 8+x^6

factor

8 + x^{6}

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

Solution steps

8 + x^{6}

Write in the standard form

= x^{6} + 8

Apply exponent rules

= (x^{2})^{3} + 2^{3}

Apply Sum of Cubes Formula:

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

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

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

2^{2} = 4

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

218 + 8 + 43

\frac{x ^{2} + x - 6}{2 x + 6}

4 i + 3 - 6 + i - 1

\frac{3}{5} - (\frac{3}{4})^{2}

\frac{x ^{4} - 49 x ^{2}}{x ^{3} + 2 x ^{2} - 63 x}