Answer:
The factorization of 
is 
Step-by-step explanation:
This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form 
or 
. It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).
Let's solve the factorization of by using the <em>sum and difference of cubes </em>factorization.
1.) We calculate the cubic root of each term in the equation , and the exponent of the letter x is divided by 3.
![\sqrt[3]{729x^{15}} =9x^{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729x%5E%7B15%7D%7D%20%3D9x%5E%7B5%7D)
then ![\sqrt[3]{10^{3}} =10](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B10%5E%7B3%7D%7D%20%3D10)
So, we got that
which has the form of which means is a <em>sum of cubes.</em>
<em>Sum of cubes</em>
with 
y 
2.) Solving the sum of cubes.
.
Answer:
55998000
Step-by-step explanation:
When you take 5 time 3 you get 15
Then you take 15 and times that by 17 and get 225
then you take that and multiply that to 200 and get 5100
Finally you multiply 5100 to 1098 and get 5598000
The answer is 6, this is because the first step is you put the numbers in order then you find the mode by seeing what number is the most
There are 2 ways to do this. I'm going to do it the way that I think is most simple.
You have to find their LCM which is 40. Now times 40 to 1/4 v and 7/10
The equation then becomes 10+40v=28
You simplify it: 40v=18
v= 9/20
Answer:
216 in²
Step-by-step explanation:
a = bh
a = 18 * 12
a = 216
