Which expressions are equivalent to 4(4x + 2y + x − y)?

4(5x + 3y) and 20x + 12y
4(5x + y) and 20x + 4y
4(3x + y) and 12x + 4y
4(3x + 3y) and 12x + 12y

Question

Which expressions are equivalent to 4(4x + 2y + x − y)?

 4(5x + 3y) and 20x + 12y
 4(5x + y) and 20x + 4y
 4(3x + y) and 12x + 4y
 4(3x + 3y) and 12x + 12y

phi · Answer

look at what is in the parens
4x + 2y + x − y

that shows you have 4 x's  plus 1 more x
how many x's is that ?
it also shows 2 y's take away 1 y.  how many y's is that ?

anonymous · Answer

5 x 2 y

anonymous · Answer

well.. i should say.. 5 x's 2 y's

phi · Answer

ok but they are added
so
5x+2y

(I used 4 x's plus 1 more x  to make it clearer what we are doing... but people just write 4x+1x= 5x )

phi · Answer

check that
you have 2 y's take away 1 y.  the answer is not 2y

anonymous · Answer

ok.

anonymous · Answer

is it B?

phi · Answer

can you redo the work for
4x + 2y + x − y