Question

Which statements are true about finding the difference of the expressions? Check all that apply.

Answer 1

option 2,4 and 5 are true statements

\frac{3p+1}{6p} - \frac{2p-3}{2p^2}

Explanation:

Answer 2

Answer : option 2,4 and 5 are true statements

`(3p+1)/(6p) - (2p-3)/(2p^2)`

We have 6p and 2p^2 in the denominator

Least common denominator LCD = 6p^2

Now we need to make the denominators same

`((3p+1)*p)/(6p*p) - ((2p-3)*3)/(2p^2*3)`

`((3p^2+p))/(6p^2) - ((6p-9))/(6p^2)`

So first fraction becomes
`((3p^2+p))/(6p^2)`

We find the difference by subtracting the numerators

`((3p^2+p-6p + 9))/(6p^2)`

`((3p^2- 5p + 9))/(6p^2)`

The resulting is a rational expression

So option 2, 4 and 5 are true statements