How do you factor 6x^2-9x+10x-15?

2 Answers
May 5, 2018

(3x+5)(2x-3)

Explanation:

6x^2 - 9x +10x - 15

by grouping and taking the common factor

rearrange:

color(red)(6x^2 +10x) color(blue)(- 9x - 15)

from the red terms take 2x common factor
and the blue terms take -3 common factor

color(red)(2x)(3x+5)color(blue)(-3)(3x+5)

now you can take (3x+5) as a common factor from both terms

(3x+5)(2x-3)

May 5, 2018

6x^2-9x+10x-15=color(blue)((2x-3)(3x+5)

Explanation:

Factor:

6x^2-9x+10x-15

Factor out the common terms in the first two terms and the second two terms.

3x(2x-3)+5(2x-3)

Factor out the common term 2x-3.

(2x-3)(3x+5)