[suzisu]

I'm stuck here don't have a clue what to do. I've read all my school textbooks but it doesn't make much sense! The numbers after the letters are small figures as in they u3 meaning( u x u x u). Ta!

Factorise the expression
5 u3v +15 uv2-10v
taking out the highest common factor. Choose the expression that remains in brackets when this is done.
Select one:
u 3 + 3 uv − 10 
u 3 + 3 uv − 2
u 3 + 15 uv − 2 
u 3 + 3 uv 2 − 2 
u 3v + 3 uv − 2 
5 u 3 + 3 uv − 2 
u 3v + 3 uv 2 − 2 v 
5 u 3 + 15 uv − 10 

[ebaines]

The convention we use for power is the carat symbol: ^. Thus "5^3" means 5 x 5 x 5. Your equation is therefore : 5u^3v +15uv^2 -10v.

Also, it looks like you tried to cut and paste characters from a document program such as Word - but unfortunately that doesn't work well on this site, as you can see.

But to help with your question - note that each term has a common factor of 5v. Divide through by 5v and you get:

5v(u^3+3u-2)

[suzisu]

Great thanks!