Question

introduction homework (standard score: 7/28 answered: 7/25 question 8 factor by grouping: $x^{2}y + 2y + 7x^{2} + 14$ question help: message instructor post to forun submit question

Explanation:

Step1: Group the terms

Group the first two terms and the last two terms: $(x^{2}y + 2y)+(7x^{2}+ 14)$

Step2: Factor out GCF from each group

Factor out $y$ from the first group and $7$ from the second group: $y(x^{2}+ 2)+7(x^{2}+ 2)$

Step3: Factor out the common binomial factor

Factor out $(x^{2}+ 2)$: $(x^{2}+ 2)(y + 7)$

Answer:

$(x^{2}+ 2)(y + 7)$