Question

Divide:

5xy² – 18x²y³ + 6xy by 6xy

Answer 1

`(5xy^2 - 18x^2y^3 + 6xy)/(6xy)`

= `(xy(5y - 18xy^2 + 6))/(6xy)`

= `(5y - 18xy^2 + 6)/6`

= `5/6 y - 3xy^2 + 1`

Answer 2

`(5xy^2 - 18x^2y^3 + 6xy)/(6xy)`

=`(5xy^2)/(6xy) - (18x^2y^3)/(6xy) + (6xy)/(6xy)`

First term: `(5xy^2)/(6xy) = 5/6 xx (y^2)/y`

= `5/6 y`

Second term: `(18x^2y^3)/(6xy) = 3x xx y^2`

= 3xy²

Third term: `(6xy)/(6xy)`

= 1

∴ `5/6 y - 3xy^2 + 1`