Question

5v³ - 2v² + 25v - 10

Explanation:

Step1: Group terms

Group the first two terms and the last two terms: $(5v^3 - 2v^2) + (25v - 10)$

Step2: Factor out GCF from each group

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

Step3: Factor out common binomial

Factor out $(5v - 2)$: $(5v - 2)(v^2 + 5)$

Answer:

$(5v - 2)(v^2 + 5)$