Q. 3 H3.6( 5 Votes )

# Factories the expressions-

p^{2}q – pr^{2} – pq + r^{2}

Answer :

In the given expression

Check weather there is any common factors for all terms;

None;

Regrouping the 1^{st} 2 terms we have,

p^{2}q – pr^{2} = p[pq – r^{2}] -------eq 1

Regrouping the last 2 terms we have,

– pq + r^{2} = -1[pq – r^{2}] -------eq 2

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

Combining eq 1 and 2

p^{2}q – pr^{2} – pq + r^{2} = p[pq – r^{2}] -1[pq – r^{2}]

= [pq – r^{2}][p - 1]

Hence the factors of[p^{2}q – pr^{2} – pq + r^{2}] are [pq – r^{2}] and [p - 1]

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