Question #dc5d6

1 Answer
Sep 18, 2017

#-12x-2y+3#

Explanation:

#x-3(x-y)-4-5(y+2x)+7#
For simplifying the given term,we need to solve the brackets.
The first bracket can be solved by multiplying #-3# with #(x-y)# and the second bracket can be solved by multiplying #-5# with #(y+2x)#

Now,#-3(x-y)=(-3)x-(-3)y#
Thus,#-3(x-y)=-3x+3y#
Similarly,#-5(y+2x)=(-5)y+(-5)2x#
Therefore,#-5(y+2x)=-5y-10x#

Placing these values in the term,we have
#x-3x+3y-4-5y-10x+7# , which is
#x-3x-10x+3y-5y-4+7# , which is
#-12x-2y+3#

Therefore, #x-3(x-y)-4-5(y+2x)+7=-12x-2y+3#