How do you factor by grouping #15x^3- 6x^2- 25x +10#?

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Answer 1 · 2015-05-07T06:37:10

We can make groups of 2 to factorise this expression:

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

#3x^2# is common to both the terms in the first group, and #5# is common to both the terms in the second group

We can write the expression as :

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

The term #(5x-2)# is common to both the terms

#=color(green)((5x - 2)(3x^2 - 5)#