6.9k views
4 votes
Add and simplify x/x-3+2/x+5

1 Answer

3 votes

Answer: To add and simplify the given expression, we need a common denominator. The common denominator is (x - 3)(x + 5). So, let's rewrite each fraction with the common denominator:

x/(x - 3) + 2/(x + 5) = x(x + 5)/[(x - 3)(x + 5)] + 2(x - 3)/[(x - 3)(x + 5)]

Now, we can combine the fractions:

= (x^2 + 5x + 2x - 6)/[(x - 3)(x + 5)]

= (x^2 + 7x - 6)/[(x - 3)(x + 5)]

Finally, we can factor the numerator, if possible:

= [(x - 1)(x + 6)]/[(x - 3)(x + 5)]

So, the simplified expression is (x - 1)(x + 6)/[(x - 3)(x + 5)].

User Matthew Roknich
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories