How do you factor #15ax - 2y + 3ay - 10x# by grouping?

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Answer 1 · 2016-05-25T16:33:42

# color(green)((5x+y) (3a - 2) # is the factorised form of the equation.

# color(blue)(15ax - 10x) color(green)(-2y + 3ay #

We can factor this expression by making groups of two terms:

#5x# is common to both the terms in the first group, and #y# is common to both the terms in the second group

# color(blue)(15ax - 10x) color(green)(-2y + 3ay ) =5x (3a - 2) + y ( -2 + 3a) #

# =5x (3a - 2) + y ( 3a -2 ) #

#3a -2# is common to both the terms now

# = color(green)((5x+y) (3a - 2) #