I am having difficulty solving these surds problems
and
Since we haven't learnt FOIL yet, I understand why you're having trouble with the first one.
If you have two binomials like , they are expanded by multiplying the Firsts, then the Outers, then the Inners, then the Lasts.
So .
So for your first one, you have
Multiplying the firsts gives .
Multiplying the outers gives
Multiplying the inners gives
Multiplying the lasts gives .
So
.
For the second, you need to simplify all of the surds first. Then hopefully you'll have "like surds" that can be collected.
.
.
.
So
.
Chookas for the exam tomorrow.