How do you simplify #{3( 2x - y - 2) - 2[ 3( x - 2y + 4) - 5( 2x - 3y + 2) \] \}#?

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Answer 1 · 2017-12-25T07:13:58

#10x-12y-28#

Distribute (Multiply them out)
#{3(2x-y-2)-2[3(x-2y+4)-5(2x-3y+2)]}#
#{6x-3y-6-6x+6y-12-10x-15y-10}#
Add like terms and simplify.
#6x-6x+10x-3y+6y-15y-6-12-10#
#10x-12y-28#

Answer 2 · 2017-12-25T07:16:50

#20x-21y-10#

Original: #{3(2x-y-2)-2[3(x-2y+4)-5(2x-3y+2)]}#

<=> #{6x-3y-6-2[3x-6y+12-10x+15y-10]#

<=> #{6x-3y-6-6x+12y-24+20x-30y+20}#

Now, we can rearrange

<=> #{6x-6x+20x-3y-30y+12y-6-24+20}#

= #20x-21y-10#