solve using special products
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(p+1)(p+q)
;p^2+pq+p+q
;p^2+p+pq+q
;p(p+1)+q(p+1)
;(p+1)(p+q)
;p^2+pq+p+q
;p^2+p+pq+q
;p(p+1)+q(p+1)
;(p+1)(p+q)
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