Question

Perform the indicated operation and simplify 10x/5x-2 + 7x-2/5x-2

Answer 1

`(17x-2)/(5x-2)`

Explanation:

10x/5x-2 + 7x-2/5x-2

`(10x)/(5x-2) + (7x-2)/(5x-2)`

Here both fractions have same denominator 5x-2

When the denominators are same then we can combine the numerators

we put denominator only once

`(10x+7x-2)/(5x-2)`

Now we simplify it

Combine like terms: 10x+7x becomes 17x

`(17x-2)/(5x-2)`

There is no common factor for the top and bottom

So we cannot simplify further