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Simplify the following fractions by putting them in lowest terms or by performing the indicated operations.

Simplify the following fractions by putting them in lowest terms or by performing-example-1
User Jewel
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1 Answer

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Step-by-step explanation:

The given expression is


(xy-zy)/(y)\cdot(xw-xy)/(yz-yw)

Then, we can multiply the fractions as


\begin{gathered} ((xy-zy)(xw-xy))/(y(yz-yw))=(xy(xw)+xy(-xy)-zy(xw)-zy(-xy))/(y(yz)-y(yw)) \\ \\ =(x^2yw-x^2y^2-xyzw+xy^2z)/(y^2z-y^2w) \\ \\ =(y(x^^2w-x^2y-xzw+xyz))/(y(yz-yw)) \end{gathered}

Finally, we can simplify the y to get


(x^2w-x^2y-xzw+xyz)/(yz-yw)

Answer:

So, the answer is


(x^2w-x^2y-xzw+xyz)/(yz-yw)
User Brian Reiter
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