How do you factor $2p q + 2p + 9q + 9$ ?

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Answer 1 · 2018-01-24T03:40:56

$(2p+9)(q+1)$

Factor the first two expressions; both contain $2p$

$2p(q+1)$

Then factor the last two expressions; both contain $9$

$9(q+1)$

Both of these contain $q+1$ , so that is one of the factors.
The remaining parts are $2p+9$ which is the other factor.

How do you factor 2p q + 2p + 9q + 92p q + 2p + 9q + 9?