Question

pq²+q(p-1)-1=? factorise

Answer 1

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Answer 2

The given expression is:

pq² + q(p - 1) - 1

We have to find, the factorisation of pq² + q(p - 1) - 1.

Solution:

∴ pq² + q(p - 1) - 1

=  pq² + qp - q - 1

= pq(q + 1) - 1(q + 1)

= (pq - 1) (q + 1)

∴ The factorisation of pq² + q(p - 1) - 1 = (pq - 1) (q + 1)

Thus, the factorisation of pq² + q(p - 1) - 1 is equal to "(pq - 1) (q + 1)".