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Solve the question: (i) 15pq + 15 + 9q + 25p (ii) z − 7 + 7xy − xyz

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Solve the question:

(i) 15pq + 15 + 9q + 25p

(ii) z − 7 + 7xy − xyz

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(i) 15pq + 15 + 9q + 25p

= 15pq + 9q + 25p + 15

= 3 × 5 × p × q + 3 × 3 × q + 5 × 5 × p + 3 × 5

= 3q (5p + 3) + 5 (5p + 3)

= (5p + 3) (3q + 5)

(ii) z − 7 + 7xy − xyz

= z − x × y × z − 7 + 7 × x × y

= z (1 − xy) − 7 (1 − xy)

= (1 − xy) (z − 7)
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