Question

Which expression is equivalent to the product of p+7/3 and 6/p , where p is not equal to 0?

a) 6p+7/3p
b) 3p+21/p
c) p+42/3p
d) 2p+14/p

Answer 1

`((6p+14))/(p)`

Explanation:

`(p+(7)/(3))((6)/(p))`

Making denominator same in first bracket we get

`((3p+7)/(3))((6)/(p))`

`(((3p+7)*6)/(3*p))`

Dividing 6 by 3 we get 2

`(((3p+7)*2)/(p))`

using distributive law

`((6p+14)/(p))\\`

Hence this is our answer

Answer 2

Option d. 2p +
`(14)/(p)`

Explanation:

We have to find the expression equivalent to the product of ( P +
`(7)/(3)`) and (
`(6)/(p)` ) where p ≠ 0

( p +
`(7)/(3)` ) × (
`(6)/(p)` )

= p (
`(6)/(p)` ) + (
`(7)/(3)` ) (
`(6)/(p)` ) [distributive law]

= 6 + (
`(14)/(p)` )

=
`((6p+14))/(p)`

Therefore, option D is the answer.