SOLUTION: how do i combine like terms: 4(2x+y) - 2 (2x+y)

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Question 93852This question is from textbook
: how do i combine like terms:
4(2x+y) - 2 (2x+y)

This question is from textbook

Found 2 solutions by checkley75, jim_thompson5910:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
FIRST YOU MULTIPLY THE TERMS THUS;
4(2X+Y)=8X+4Y
2(2X+Y)=4X+2Y NOW SUBTRACT THE SECOND TERM FROM THE FIRST TERM
8X-4Y-(4X+2Y)
8X-4X-4Y+2Y
4X-2Y NOW REDUCE BY DIVIDING BY 2.
2(2X-Y) ANSWER.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since the expression has a common term 2x%2By we can combine the two terms. If that doesn't make sense, we can let w=2x%2By to get

+4w+-+2+w

Now we can see that we have a common term of w. So combine like terms

+4w+-+2+w=2w

Now replace w with 2x%2By

2%282w%2By%29