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Factor xy+qr-xr-qy using grouping method

User Guillefix
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16 votes

We are given the following expression:


xy+qr-xr-qy

We will associate the terms that have common factors, like this:


(xy-xr)+(qr-qy)

Now we take the common factor for each of the parenthesis:


x(y-r)+q(r-y)

Since each parenthesis has a common factor but with inverted signs, we will take -1 as a common factor in the second parenthesis, we get:


x(y-r)-q(y-r)

Now we can take "y-r" as a common factor for the entire expression:


(y-r)(x-q)

And thus we have factored the expression.

User Kenzi
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