Tick ( ) the correct answer: pq^2 + q(p - 1) - 1 = ? - Vidyadip

MCQ

Tick $(\checkmark)$ the correct answer:
$pq^2 + q(p - 1) - 1 = \ ?$

A
$(pq + 1)(q − 1)$
B
$p(q + 1)(q − 1)$
C
$q(p − 1)(q + 1)$
✓
$(pq − 1) (q + 1)$

✓

Answer

Correct option: D.

$(pq − 1) (q + 1)$

D. $(pq − 1) (q + 1)$
Solution:
$pq^2 + q(p - 1) - 1$
$= pq^2 + pq - q - 1$
$= pq(q + 1) + -1(q + 1)$
$= (q + 1)(pq - 1)$

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