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Popular >

factor x^6-8

Solution

factor

x^{6} - 8

Solution

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

Solution steps

x^{6} - 8

Apply exponent rules

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

Apply Difference 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)

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Frequently Asked Questions (FAQ)

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