Final answer:
To factor the expression 135xyz−240xz, the greatest common factor 15xz is factored out, resulting in the factored form of 15xz(9y−16).
Step-by-step explanation:
The question asks us to factor the expression 135xyz−240xz.
To do this, we look for the greatest common factor (GCF) that can be factored out from both terms in the expression. Observing the two terms, 135xyz and 240xz, we can see that they both share a factor of xz.
Additionally, by finding the GCF of the coefficients 135 and 240, which is 15, we can factor out 15xz from the entire expression.
Now, dividing both terms by 15xz, we get:
- 135xyz ÷ 15xz = 9y
- 240xz ÷ 15xz = 16
Thus, the factored form of 135xyz−240xz is: 15xz(9y−16)