Factor the gcf: 6x4y3 + 21x3y2 − 9x2y. 3xy(2x3y2 + 7xy − 3x) 3x2y(2x2y2 + 7xy − 3) 3x2y3(2x2 + 7xy − 3) 3x2y(2x2y + 7xy − 3y)

Second option :

Step-by-step explanation:

Given expression .

We need to find greatest common factor (GCF) of all the terms.

Let us write all terms in expanded form first.

We can see that first factor is 3 common, second factor is and third factor is y.

Therefore, GCF would be

Now, let us factor out GCF and keep the remaining terms inside parenthesis.

=

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.