Question

factor by grouping.
$20w^3 - 25w^2 + 28w - 35$

Explanation:

Step1: Group the terms

Group the first two terms and the last two terms: $(20w^3 - 25w^2) + (28w - 35)$

Step2: Factor out GCF from each group

Factor out $5w^2$ from the first group and $7$ from the second group: $5w^2(4w - 5) + 7(4w - 5)$

Step3: Factor out the common binomial factor

Factor out $(4w - 5)$: $(4w - 5)(5w^2 + 7)$

Answer:

$(4w - 5)(5w^2 + 7)$