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

We have been given the function

Convert this expression in difference of cubes form.

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

On applying this formula, we get

Hence, the factors of the given expression are

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

x^5 − 4 is the required factor.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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