Question

Which is the simplified rational expression for 4p-3/3p+1+2p+5/3p+1?

Answer 1

Answer: the answer is c

Step-by-step explanation:

Answer 2

`(4p-3)/(3p+1)+(2p+5)/(3p+1)=2`

Step-by-step explanation:

we are given

`(4p-3)/(3p+1)+(2p+5)/(3p+1)`

we can see that

denominators of both terms are 3p+1

So, both has same denominators

so, we can combine numerators

and we get

`(4p-3)/(3p+1)+(2p+5)/(3p+1)=(4p-3+2p+5)/(3p+1)`

now, we can combine like terms

`(4p-3)/(3p+1)+(2p+5)/(3p+1)=(4p+2p-3+5)/(3p+1)`

`(4p-3)/(3p+1)+(2p+5)/(3p+1)=(6p+2)/(3p+1)`

now, we can factor out common term

`(4p-3)/(3p+1)+(2p+5)/(3p+1)=(2(3p+1))/(3p+1)`

we can see that 3p+1 is on both top and bottom

so, we can cancel it

and we get

`(4p-3)/(3p+1)+(2p+5)/(3p+1)=2`