How do I rewrite a GCF? Equation: 2x3y + 18xy - 10x2y - 90y

Question

anonymous · Answer

@satellite73 @iPwnBunnies @amistre64

amistre64 · Answer

what values do the terms have in common? ... if we know, then we can undistribute them.

amistre64 · Answer

might help to use exponent notation as well,  or repetition of a variable is useful.

    2 xxx  y 
  18     x  y 
-10   xx  y 
-90         y
----------
               well they have a y in common

the numbers are all even so they have at best a 2 in common

anonymous · Answer

oh because they all are variables of 2?

amistre64 · Answer

variables of 2 .... dunno what what means.

variables are letters,  and the only letter they have in common is a single y

the number parts,  the are all multiples of 2 (even numbers) so they all have a 2 in common.

amistre64 · Answer

2 xxx  y 
  18     x  y 
-10   xx  y 
-90         y
----------
    2          y
...............................

factoring out their biggest common factor we get:

    1 xxx 
    9     x 
-  5   xx 
-45

anonymous · Answer

i meant multiples not variables. sorry