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)
