Question

Factor completely q^2(p+1)+3(p+1)

Answer 1

For this case we have the following expression:
 q ^ 2 (p + 1) +3 (p + 1)
 We observe that the term that is repeated in all the members of the expression is p + 1.
 Therefore, by doing common factor we have:
 (p + 1) (q ^ 2 + 3)
 Answer:
 The factored expression is:
 (p + 1) (q ^ 2 + 3)

Answer 2

${q}^{2} (p + 1) +3 (p + 1) \\ = (p + 1)( {q}^{2} + 3)$