Question

factor by grouping. \\( uw + 2w - u - 2 \\)

Explanation:

Step1: Group terms

Group the first two terms and the last two terms: $(uw + 2w) + (-u - 2)$

Step2: Factor out GCF from each group

Factor out $w$ from the first group and $-1$ from the second group: $w(u + 2) - 1(u + 2)$

Step3: Factor out common binomial factor

Factor out $(u + 2)$: $(u + 2)(w - 1)$

Answer:

$(u + 2)(w - 1)$