Q. 3 E4.9( 13 Votes )

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Answer :

In the given expression


Check weather there is any common factors for all terms;


None;


Regrouping the 1st 2 terms we have,


p2q – pr2 = p[pq-r2] -------eq 1


Regrouping the last 2 terms we have,


– pq + r2 = -1[pq-r2] -------eq 2


we have to make common parts in both eq 1 and 2


Combining eq 1 and 2


p2q – pr2 – pq + r2 = p[pq-r2] -1[pq-r2]


= [p – 1][pq – r2]


Hence the factors of p2q – pr2 – pq + r2 are [p – 1] and [pq – r2]


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