What is factor x^{15}-64 ?

The solution to factor x^{15}-64 is (x^5-4)(x^{10}+4x^5+16)

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factor x^{15}-64

factor

x^{15} - 64

(x^{5} - 4) (x^{10} + 4 x^{5} + 16)

Solution steps

x^{15} - 64

Apply exponent rules

= (x^{5})^{3} - 4^{3}

Apply Difference of Cubes Formula:

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

(x^{5})^{3} - 4^{3} = (x^{5} - 4) (x^{10} + 4 x^{5} + 4^{2})

= (x^{5} - 4) (x^{10} + 4 x^{5} + 4^{2})

4^{2} = 16

= (x^{5} - 4) (x^{10} + 4 x^{5} + 16)

5 (- 3 x - 2) - (x - 3) = - 4 (4 x + 5) + 13

6 0^{\frac{1}{2}}

\frac{2 ( 4 )}{4 + 5}

x^{2} < 2 x + 35

9 y^{2} \cdot (y^{6})^{\frac{5}{3}}

What is factor x^{15}-64 ?
The solution to factor x^{15}-64 is (x^5-4)(x^{10}+4x^5+16)