How do you simplify #2x + 7y - 8( 5x - 2y )#?

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Answer 1 · 2018-05-23T03:42:08

#-38x+23y#

We can start by distributing the #-8# to both terms in the parenthesis. Doing this, we get

#2x+7y-40x+16y#

Now, we just look for like terms. The #x# terms go with each other, and so do the #y# terms. We get

#-38x+23y#

Hope this helps!

Answer 2 · 2018-05-23T03:46:04

#23y-38x#

We start with applying BODMAS rule, which clearly tells that the terms with brackets should be simplified first. Hence consider:

# -8x(5x-2y)#

#= [(-8x*5y)+(-8x*-2y)]#

#= [(-40x)+(+16y)]#

#= -40x+16y#

Now consider the whole question and plug in the simplified value
We get,

#2x+7y-40x+16y#

Now add or subtract the coefficients of the same variables depending on the sign they carry. We get:

#2x-40x +7y+16y = -38x+23y#

You can leave it at this or just put the term with '+' at the first as I have.

Hope it helped! All the best