Factor completely and check mentally

8x^2yz+16xy^2z^2-24xyz^2

Question

Factor completely and check mentally 

8x^2yz+16xy^2z^2-24xyz^2

anonymous · Answer

@dan815

dan815 · Answer

a term is separated by a + or - sign

anonymous · Answer

xyz

dan815 · Answer

tell me what numbers or variables are common in all those terms, there are 3 terms in here

dan815 · Answer

good, what about any numbers

anonymous · Answer

No numbers.

anonymous · Answer

Wait

anonymous · Answer

8 16 and 24

dan815 · Answer

remember a number can be a multiple

dan815 · Answer

right remember 16 = 8*2 and 24=8*3

dan815 · Answer

okay so lets factor 8xyz(_____ + _______ - _______) <--- what goes in the blanks

dan815 · Answer

think what do i have to multiply to get back the terms you started with

anonymous · Answer

16xyz and 24xyz?

dan815 · Answer

ill do the first term for you okay

anonymous · Answer

._. Alright.

dan815 · Answer

we are factoring 8xyz and we know our first term is 8x^2yz, so that means i only need to multiply 8xyz*x to get back what i started with so... first blank is x, do the other blanks
8xyz(___x___+ _______ - _______) <--- what goes in the blanks

anonymous · Answer

Oh hey if I get a bit rushy please disregard class has been over for 7 minutes and I'm on question 4/10

dan815 · Answer

I told you I am worse than mathmale, figure this out now

dan815 · Answer

This is as much as I can help you

anonymous · Answer

Hold on.. x? Why x?

muzzack · Answer

Step by step solution :
Step  1:

Simplify   $8x^2yz+16xy^2z^2  -  (2^3•3xyz^2)$

Pull out like factors :

$8x^2yz + 16xy^2z^2 - 24xyz^2  =   8xyz • (x + 2yz - 3z)$ 

Final result :

$\huge\ 8xyz • (x + 2yz - 3z)$