What is the factorization of 729^15+1000?

The factorization of is

Step-by-step explanation:

This is a case of factorization by sum and difference of cubes, this type of factorization applies only in binomials of the form or . It is easy to recognize because the coefficients of the terms are perfect cube numbers (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 sum and difference of cubes factorization.

1.) We calculate the cubic root of each term in the equation , and the exponent of the letter x is divided by 3.

then

So, we got that

which has the form of which means is a sum of cubes.

Sum of cubes

with y

2.) Solving the sum of cubes.

.

yor answer is 7/6 times 5

step-by-step explanation:

the answer is 0.071

good luck! : d