Question

What is the sum? 3/x+4/(x)2

Answer 1

(3/x)+(4/(x^2))

give common denominator:
(3x/(x^2))+(4/(x^2)) = (3x+4)/(x^2)

Answer 2

ANSWER


`(3)/(x) + \frac{4}{ {x}^(2) } = \frac{3x + 4}{ {x}^(2) }`

Step-by-step explanation

We want to add the algebraic fractions,


`(3)/(x) + \frac{4}{ {x}^(2) }`

To solve this we need to collect LCM.

The LCM of


`x \: and \: {x}^(2) = {x}^(2)`

We can now rewrite the expression as a sum of two equivalent algebraic fractions with the least common multiple as the denominator.

Thus,


`(3)/(x) + \frac{4}{ {x}^(2) } = \frac{3x}{ {x}^(2) } + \frac{4}{ {x}^(2) }`


Since the denominators are the same, we write one of them and add the numerators.

This means that,


`(3)/(x) + \frac{4}{ {x}^(2) } = \frac{3x + 4}{ {x}^(2) }`