Question 509238
<pre><font size = 4><b>
8x²yz+16xy²z²-24xyz²

Write it without exponents and only prime numbers:

2*2*2*x*x*y*z + 2*2*2*2*x*y*y*z*z - 2*2*2*3*x*y*z*z

I will color red all the factors that can be taken out:

<font color="red">2</font>*<font color="red">2</font>*<font color="red">2</font>*<font color="red">x</font>*x*<font color="red">y</font>*<font color="red">z</font> + <font color="red">2</font>*<font color="red">2</font>*<font color="red">2</font>*2*<font color="red">x</font>*<font color="red">y</font>*y*<font color="red">z</font>*z - <font color="red">2</font>*<font color="red">2</font>*<font color="red">2</font>*3*<font color="red">x</font>*<font color="red">y</font>*<font color="red">z</font>*z

<font color="red">2</font>*<font color="red">2</font>*<font color="red">2</font>*<font color="red">x</font>*<font color="red">y</font>*<font color="red">z</font>(x + 2*y*z - 3*z)
 
Then multiply the three 2's together, getting 8 and erase
the asterisks for multiplication.

8xyz(x + 2yz - 3z)

Edwin</pre></font></b>