Solve x^6-64 - ScanMath

Evaluate

x^{6} - 64

Rewrite the expression in exponential form

(x^{3})^{2} - (6 4^{\frac{1}{2}})^{2}

Use a^{2} - b^{2} = (a - b) (a + b) to factor the expression

(x^{3} - 6 4^{\frac{1}{2}}) (x^{3} + 6 4^{\frac{1}{2}})

Evaluate

More Steps

(x^{3} - 8) (x^{3} + 6 4^{\frac{1}{2}})

Evaluate

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(x^{3} - 8) (x^{3} + 8)

Evaluate

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(x - 2) (x^{2} + 2 x + 4) (x^{3} + 8)

Solution

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

Factor the expression