Problem

Factor by grouping. \[ 9 x^{3}-15 x^{2}+6 x-10 \] \[ 9 x^{3}-15 x^{2}+6 x-10=\square \]

Solution

Step 1 :Group the terms in pairs: \( (9x^{3} - 15x^{2}) + (6x - 10) \)

Step 2 :Factor out the greatest common factor (GCF) from each group: \( 3x^{2}(3x - 5) + 2(3x - 5) \)

Step 3 :Factor out the common binomial factor from each group: \( (3x - 5)(3x^{2} + 2) \)

Step 4 :\(\boxed{9x^{3} - 15x^{2} + 6x - 10 = (3x - 5)(3x^{2} + 2)}\)

From Solvely APP
Source: https://solvelyapp.com/problems/Bt4950RpCX/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download