Question

factor by grouping.
25u^3 - 30u^2 + 35u - 42

Explanation:

Step1: Group the terms

$(25u^{3}-30u^{2})+(35u - 42)$

Step2: Factor out the GCF from each group

$5u^{2}(5u - 6)+7(5u - 6)$

Step3: Factor out the common binomial factor

$(5u - 6)(5u^{2}+7)$

Answer:

$(5u - 6)(5u^{2}+7)$