Question

How to add polynomials with different denominators.

Answer 1

Answer:

Must get common denominators (explained more in explanation)

Step-by-step explanation:

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

$\frac{9}{q} +\frac{x-3}{q^{2} }$

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

$\frac{9q}{q^{2} } +\frac{x-3}{q^{2} }$

After this, you just have to add them

$\frac{9q+x-3}{q^2}$

Another example is:

$\frac{x-3}{2} +\frac{x-4}{5}$

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

$\frac{(5)x-3}{(5)2} +\frac{(2)x-4}{(2)5}$

Multiply

$\frac{5x-3}{10} +\frac{2x-4}{10}$

Add

$\frac{5x-3+2x-4}{10}$

Simplify by combining like terms

$\frac{7x-7}{10}$

Hope this helps!