Q. 3 H3.6( 5 Votes )

# Factories the expressions-p2q – pr2 – pq + r2

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]

= [pq – r2][p - 1]

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

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