Question

Factor the expression. 100k^3 – 75k^2 + 120k – 90

Answer 1

For this case we must factor the following expression:

$100k ^ 3-75k ^ 2 + 120k-90$

We take common factor 5:

$5 (20k ^ 3-15k ^ 2 + 24k-18) =$

We have two groups within the parentheses:

Group 1: $20k ^ 3-15k ^ 2$

Group 2: $24k-18$

We factor each group:

Group 1: $6 (4k-3)$

Group 2: $5k ^ 2 (4k-3)$

Rewriting we have:

$5 (5k ^ 2 (4k-3) +6 (4k-3)) =\\5 ((5k ^ 2 + 6) (4k-3))$

Answer:

$5 (5k ^ 2 + 6) (4k-3)$