12
of 2

Dividing by Monomials

Here's another one:

( 5xy^2 - 12 ( x^3 ) ( y^4 ) - 6 ) / 3x

( 5xy^2 - 12 ( x^3 ) ( y^4 ) - 6 ) / ( 3x ) = ( 5xy^2 ) / 3x - ( 12 ( x^3 ) ( y^4 ) / 3x - 6 / 3x = ( 5 / 3 ) y^2 - 4 ( x^2 ) ( y^4 ) - ( 2 / x )

TRY IT:

( 4wy^2 - 20w^2 + 6wy - 7 ) / 4wy^2

By the way, if you don't believe that we can really break these things up... Just try it with some regular numbers:

( 1 + 3 ) / 2 = ( 1 / 2 ) + ( 3 / 2 ) = 2
Heck, we do this with fractions all the time!