SOLUTION: Simplfy (3x -2y + 3x + Y) ( 6x -5 y + 8y - 4x)

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Question 1202674: Simplfy (3x -2y + 3x + Y) ( 6x -5 y + 8y - 4x)
Found 3 solutions by mananth, greenestamps, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

(3x -2y + 3x + y) ( 6x -5 y + 8y - 4x)
(6x-y)(2x+3y)
6x(2x+3y)-y(2x+3y)
12x^2+18xy-2xy-3y^2
12x^2+16xy-3y^2





Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Technically, the response from the other tutor is not correct.

The reason is that you show both "y" and "Y" in the first expression, and different symbols represent different values. It is not at all uncommon to use, for example, r and R to represent the radii of two circles.

So in this problem (as you post it) you can't simplify "-2y+Y" to "-y".

The lesson for you: don't mix lower- and upper-case letters to represent the same number.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
First, perform any operations possible within groupings.
+%283x+-2y+%2B+3x+%2B+Y%29+%28+6x+-5+y+%2B+8y+-+4x%29
%286x-2y%2BY%29%282x%2B3y%29
Next you could use distributive property, IF YOU WANT TO, or could choose to
use a lattice method for multiplication. 
            6x    -2y     Y
          ------------------------
    2x   | 12x^2  -4xy    2xY
         |
    3y   | 18xy  -6y^2   3yY

Combine like-terms using addition.
12x%5E2%2B18xy-4xy-6y%5E2%2B2xY%2B3yY

highlight%2812x%5E2%2B14xy-6y%5E2%2B2xY%2B3yY%29-------or other variations based on commutative property for addition.