[tex]\boxed{\frac{2xy-3y}{x}}[/tex]
Explanation:
Here we have the following expression:
[tex]\frac{16xyz-24zy}{8xz} \\ \\ \\ Prime \ factorization: \\ \\ 16=2^4 \\ \\ 24=2^3\cdot 3 \\ \\ 8=2^3[/tex]
So we can rewrite this as follows:
[tex]\frac{2^4xyz-2^3\cdot 3zy}{2^3xz} \\ \\ \\ Common \ factor \ 2^3z \ in \ the \ numerator: \frac{2^3z(2xy-3y)}{2^3xz} \\ \\ \\ Commutative \ property \ in \ the \ denominator: \\ \\ \frac{2^3z(2xy-3y)}{2^3zx} \\ \\ \\ Simplyfing: \\ \\ \boxed{\frac{2xy-3y}{x}}[/tex]
Learn more:
Simplify: https://brainly.com/question/10644722
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