Whats a factor of x^15-64

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

Step-by-step explanation:

Factor the following:

x^15 - 64

Hint: | Express x^15 - 64 as a difference of cubes.

x^15 - 64 = (x^5)^3 - 4^3:

(x^5)^3 - 4^3

Hint: | Factor the difference of two cubes.

Factor the difference of two cubes. (x^5)^3 - 4^3 = (x^5 - 4) ((x^5)^2 + x^5 4 + 4^2):

(x^5 - 4) ((x^5)^2 + 4 x^5 + 4^2)

Hint: | For all positive integer exponents (a^n)^m = a^(m n). Apply this to (x^5)^2.

Multiply exponents. (x^5)^2 = x^(5×2):

(x^5 - 4) (x^(5×2) + 4 x^5 + 4^2)

Hint: | Multiply 5 and 2 together.

5×2 = 10:

(x^5 - 4) (x^10 + 4 x^5 + 4^2)

Hint: | Evaluate 4^2.

4^2 = 16:

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

the given 6 = w/p is equivalent to 6p = w, where w is the total area of the walls and p is the area covered by a single can of paint.

knowing that 6 cans of paint will be needed, 6p = w becomes 6(6) = w = 36.   this tells us that the total area to be painted is 36 square units.