Factor 15x^3-6x^2-25x+10 by grouping

Answer: (5x-2) (3^2-5)

Step-by-step explanation:

So using the commutative property, we can change the equation 15x^3-6x^2-25x+10 into 15x^3-25x - 6x^2+10

Let's split that into two sections so it's easier to see:

(15x^3-25x) - (6x^2+10)

Next let's look at what 15x^3 and - 25x have in common. They have 5x in common.

Factoring out 5x, we get this: 5x (3^2-5)

Next let's look at what - 6x^2and 10 have in common. They only have 2 in common, so we factor out 2.

2 (-3^2+5) we can write this as - 2 (3^2-5)

So the end result will be : 5x (3^2-5) - 2 (3^2-5)

And the complete factorization will be (5x-2) (3^2-5)