If x, y, and z are positive integers and 2^x * 3^y * 5^z = 54,000, what is the value of x + y + z

Given:

If x, y, and z are positive integers, then

To find:

The value of .

Solution:

First we need to find the prime factors of 54000.

       ...(i)

We have,

       ...(ii)

On comparing (i) and (ii), we get .

The sum of is:

Therefore, the value of is 10.

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

i hope this is what you are looking for : )

b.

step-by-step explanation: