Number  H)    m+12

−m−13

m+15

=3(m+1)6

−2(m−1)6

×5

m+1

=3m+3− 2m+ 2

6×

5m+1

=(3m− 2m)+ (3+ 2)

6×

5m+1

Answer = 5(m+ 5)6(m+1)

 

 Number  I)    3pq

×4pp+1

You cancel out the p from the pq and from the 4p

This leaves the 4 on the top without the p and the q on the bottom without the p.

=12

q(p+1) You don't need to simplify any further

 

                       

Number  J)    

Simplify: 8(x +3)9

×12(x +1)4(x +3)

= 8(x +3)3

×3(x +1)(x +3)

Answer = 8(x +1)3

In the above, we cancelled out the 2 (x +3) and thetwo 3's to leave us with the answer given.You don't expand the brackets out with the answeras it is simplified already.