Perform and write in lowest terms?

Question

(7/(p^2+p))/(14/(p^2-2p))

Answer 1

7/(p^2+p)

---------------------   =

14/(p^2-2p)

7/p(p+1)

------------------   =

14/p(p-2)

1/(p+1)

----------------  =

2/(p-2)

1/(p+1) X (p-2)/2=

(p-2)

--------

2(p+1)

Answer 2

(7/(p^2+p))/(14/(p^2-2p)) =

{7/[p(p + 1)]] / {14/[p(p - 2)]} =

{7/[p(p + 1)]] × {[p(p - 2)]/14} =

[7p(p - 2)] / [14p(p + 1)] =

(p - 2) / [2(p + 1)]

Answer 3

(7/(p^2+p))/(14/(p^2-2p))

(7/p(p+1))/(14/p(p-2))

7p(p-2)/14p(p+1)          if p not equal to 0

p-2/2(p+1)

Answer 4

(7/(p²+p))/(14/(p²-2p)) = (7/(p²+p))×((p²-2p)/14)

= (1/(p²+p))×((p²-2p)/2)

= (p²-2p)/(2(p²+p))

Answer 5

The expression=

(p-2)/[2(p+1)]=

1/2-3/[2(p+1)]