Question

Perform the operation shown below and then choose the correct numerator. 3/ab^2 + 2/a^2b

Answer 1

`3a+2b`

Explanation:

`(3)/(ab^2)+(2)/(a^2b)`

`(3)/(ab^2)=(3a)/(ab^2a)=(3a)/(a^2b^2)`

`(2)/(a^2b)=(2b)/(a^2bb)=(2b)/(a^2b^2)`

`(3a)/(a^2b^2)+(2b)/(a^2b^2)`

`(3a+2b)/(a^2b^2)`

`3a+2b`

Answer 2

Option c

Explanation:

The given expression is
`(3)/(ab^2)+(2)/(a^2b)`

To solve these fraction we will take the LCM of the denominators.

ab² = a × b × b

a²b = a × a × b

LCM = a × b × b × a

= a² b²

Now
`(3)/(ab^(2))+(2)/(a^2b)=((3a+2b)/(a^2b^2) )`

So the correct numerator will be (3a + 2b)

Option c is the answer.