Question

How to add polynomials with different denominators.

Answer 1

Must get common denominators (explained more in explanation)

Explanation:

To add or subtract polynomials with unlike denominators, you first have to get common denominators, For example:

`(9)/(q) +(x-3)/(q^(2) )`

Multiply the first fraction on the left by
`q` so we get:

`(9q)/(q^(2) ) +(x-3)/(q^(2) )`

After this, you just have to add them

`(9q+x-3)/(q^2)`

Another example is:

`(x-3)/(2) +(x-4)/(5)`

We multiply the first fraction by 5 and the second fraction by 2 through distributive property

`((5)x-3)/((5)2) +((2)x-4)/((2)5)`

Multiply

`(5x-3)/(10) +(2x-4)/(10)`

Add

`(5x-3+2x-4)/(10)`

Simplify by combining like terms

`(7x-7)/(10)`

Hope this helps!