How do we add and subtract rational expressions

Learn how to add/subtract rational expressions with monomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then simplify our answer by reducing the fraction if necessary.

When adding rational expressions with different denominators, we find the LCM of the different denominators (this is usually the product of the different expressions that makes up the denominators). We then multiply the denominators by an expression which will yield the LCM. You will also multiply the numerator by the same expression with which you multiplied the denominator.

Notice that the expressions now have the same denominator. We can now add or subtract the numerators while retaining the common denominator.

Timestamps:
0:00 Intro
1:23 Example #1
2:32 Example #2

Corrections:
3:45 It was supposed to be 10 not 2, and should have been 5x+10 instead of 5x+2.

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[ryN__________________________]

At 3:46, the 2 is supposed to be 10. So it would be *5x+10* instead of 5x+2.

[kayleemetcalf]

I got so overwhelmed within the first minute

[irmarivas]

It should be 5x +10 in your solution not 5x + 2

[ghostfighter]

I think the final answer should 3x+8 (x+1) (x+2) correct if I wrong

[jasont]

Am I stupid or is it supposed to be 5x+10?

Still helpful though thank you!