What is factor x^6-1000 ?

The solution to factor x^6-1000 is (x^2-10)(x^4+10x^2+100)

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factor x^6-1000

factor

x^{6} - 1000

(x^{2} - 10) (x^{4} + 10 x^{2} + 100)

Solution steps

x^{6} - 1000

Apply exponent rules

= (x^{2})^{3} - 1 0^{3}

Apply Difference of Cubes Formula:

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

(x^{2})^{3} - 1 0^{3} = (x^{2} - 10) (x^{4} + 10 x^{2} + 1 0^{2})

= (x^{2} - 10) (x^{4} + 10 x^{2} + 1 0^{2})

1 0^{2} = 100

= (x^{2} - 10) (x^{4} + 10 x^{2} + 100)

x y + 10 x^{2} - 2 y^{2}

9 a^{2} - 36 b^{2}

(x^{- 3})^{5}

arctan (\frac{( 1 + x ^{2} + 1 )}{x})

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

What is factor x^6-1000 ?
The solution to factor x^6-1000 is (x^2-10)(x^4+10x^2+100)