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:
The answer is 5 over 7
Step-by-step explanation:
Answer:
a=3
Step-by-step explanation:
5=4a-7
add 7 on both sides
5+7=4a(-7+7)
12=4a
Now divide 4 on both sides
a= 3
PLEASE GIVE BRAINLISET
Answer:
A: 6
Step-by-step explanation:
Our equation is 5x+12=6(x+1)
Our possible numbers are 6, 5, 24, or 7.
To figure this out you start putting the possible numbers in place of x so we'll start off using 6:
5*6+12=6(6+1).
5*6=30. 30+12=42. 6+1=7, 6*7=42.
This equals the same on both sides.
Next we'll go to 5:
5*5+12=6(5+1)
5*5=25, 25+12=37. 5+1=6, 6*6=36.
This doesn't equal the same amount on both sides.
Next is 24:
5*24+12=6(24+1)
5*24=120, 120+12=132. 24+1=25, 6*25=150
This doesn't equal the same amount.
Next is 7:
5*7+12=6(7+1)
5*7=35, 35+12=47. 7+1=8, 6*8=48.
This doesn't equal.
The only number that equals the same amount on both sides is A:6
