Mathematics: Choose one of the factors of x15 − 64. (2 points) x^5 − 4 x^10 − 4x^5 + 16 x^10 − 4 x^15 + 8x + 16

Let:s = soccer practice hoursv = volleyball practice hourss + v = 102v + 1 = ss = 7v = 3...

Choose one of the factors of x15 − 64. (2 points)

rome58

05.01.2022

We have been given the function $x^{15}-64$

Convert this expression in difference of cubes form.

$x^{15}-64\\=(x^5)^3-4^3$

Now, in order to find the factors, we can apply the difference of cubes form, which is given by

x^3-y^3=(x-y)(x^2+xy-y^2)

On applying this formula, we get

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

Hence, the factors of the given expression are

$(x^5-4) \text{ and }(x^{10}+4x^5+16)$

Out of the given option, A is the correct option.

x^5 − 4 is the required factor.

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