Answer:
(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12)
Step-by-step explanation:
Given:
Polynomial 27a^3 b^9+8c^18
Factoring the given polynomial
27a^3b^9 can be written as
=3^3.a^3.b^3^3
=(3ab^3)^3
Also 8c^18 can be written as
=2^3.c^6^3
=(2c^6)^3
Hence Polynomial 27a^3 b^9+8c^18 can be written as
=(3ab^3)^3+(2c^6)^3
Applying sum of cubes formula i.e. a^3 + b^3=(a+b)(a^2 – ab + b^2)
=(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12) !
x - 1 x + 1
------ = --------------
x + 3 x + 6
if x = 9
8/ 12 = 10/15
12 (10) = 8(15)
120 = 120
so
answer is 9 (last choice)
Answer:2x × 3 (Don't solve it cause you cant)
Step-by-step explanation:For the first one in parentheses you can't do it because their has to be an x with the two so you can do the problem.
For the next one you can do it. So for every letter that doesn't have a number their is always an invisible 1 in front of it. So it's 1x to the second power + 1x-1 so 1×1 is 1. 1x+1x=2x and the 2 and the one that doesn't have a letter equals 3. So the answer is
2x × 3 Hopefully this is correct and helps you out!
There are 12 months in a year which will be equal to 285 times 12 = $3420
after 2 years (24 months)... 285 times 24 = $6840
after 5 years (60 months).... 285 times 60 = $17, 100
Answer:
Step-by-step explanation:
hypotenuse = √(14.4² + 6²) = √243.36 = 15.6 mi
area of triangle = 0.5×6×14.4 = 43.2 mi²
radius of semicircle = 15.6/2 = 7.8
area of semicircle = πr² = 60.84π mi²
total area = 43.2 + 60.84π ≅ 234.33 mi²