Which of the following is the correct factorization of the polynomial below?
64x3 + 27
a. (16x + 8)(3x2 - 12x + 9)
b. (4x + 3)(16x2 - 12x + 9)
c. (3x2 + 4)(3x - 16x + 16)
d. the polynomial is irreducible.

 the correct option is

(B)

Step-by-step explanation:  We are given to select the correct factorization of the following polynomial :

We will be using the following factorization formula :

Therefore, the factorization of the given polynomial is as follows :

Thus, the required factored form is

Option (B) is CORRECT.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)