Question

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

Answer 1

Answer : option 2,4 and 5 are true statements

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

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

Least common denominator LCD = 6p^2

Now we need to make the denominators same

$\frac{(3p+1)*p}{6p*p} - \frac{(2p-3)*3}{2p^2*3}$

$\frac{(3p^2+p)}{6p^2} - \frac{(6p-9)}{6p^2}$

So first fraction becomes $\frac{(3p^2+p)}{6p^2}$

We find the difference by subtracting the numerators

$\frac{(3p^2+p-6p + 9)}{6p^2}$

$\frac{(3p^2- 5p + 9)}{6p^2}$

The resulting is a rational expression

So option 2, 4   and 5 are true statements

Answer 2

Answer:

option 2,4 and 5 are true statements

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

Step-by-step explanation: