Tick (✓) the correct answer

Question:

Tick (✓) the correct answer:

pq2 + q(p − 1) − 1 = ?

(a) (pq + 1)(q − 1)

(b) p(q + 1)(q − 1)

(c) q(p − 1)(q + 1)

(d) (pq − 1) (q + 1)

Solution:

(d) (pq − 1) (q + 1)

$p q^{2}+q(p-1)-1$

$=p q^{2}+q p-q-1$

$=p q(q+1)-1(q+1)$

$=(p q-1)(q+1)$

 

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