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

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Answer 1 · 2018-05-05T11:44:43

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

#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)#

Answer 2 · 2018-05-05T11:48:01

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

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)#