Question

Multiply the following rational expressions and simplify the result

Answer 1

Explanation:

We have to solve the given expression,

`(9y-33y^2-3y^4)/(100-49y^2).(7y^2+17y+10)/(14y^2+28y)`

`(9y-33y^2-3y^4)/(100-49y^2).(7y^2+17y+10)/(14y^2+28y)` =
`(-y(-9+33y+3y^3))/(100-49y^2).(7y^2+17y+10)/(14y(y+2))`

=
`(-y(-9+33y+3y^3))/((10-7y)(10+7y)).(7y^2+10y+7y+10)/(14y(y+2))`

=
`(-y(-9+33y+3y^3))/((10-7y)(10+7y)).(y(7y+10)+1(7y+10))/(14y(y+2))`

=
`(-y(-9+33y+3y^3))/((10-7y)(10+7y)).((y+1)(7y+10))/(14y(y+2))`

=
`(-3y(-3+11y+y^3))/((10-7y)).((y+1))/(14y(y+2))`

=
`(-3(-3+11y+y^3))/((10-7y)).((y+1))/(14(y+2))`

=
`(3(3-11y-y^3)(y+1))/((10-7y)(14(y+2))`