can you show some workings too please that would be great

1) (q+4)(q+5) expand and simplify i got - q(squared)+9q+20

simplified 9q(cubed) + 20

You can't combine $\displaystyle q^2$ and $\displaystyle 9q$, they have different powers (you multiplied them), leave it in the quadratic form.

** By simplifying it means combine all your like terms, like 5q & 4 q**
2) expand and simplify$\displaystyle (2k - 3m)(3k+2m)$ help?

**F.O.I.L. First. Outer. Inner. Last**

$\displaystyle 6k^2 + 4km - 9km -6m$

$\displaystyle = 6k^2 - 5km -6$
3) Solve 5(x+1)=3x + 12

**First, distribute your 5 through (x+1) to get 5x +5 = 3x + 12. Then solve for x**
4)facotorise x(squared) + 5x + 4

**What two numbers, when added together give you 5 AND when multiplied together give you 4? (x+1)(x+4) right?**
5) solve x(squared) + 5x + 4 = 0

**You will have two answers. See #4. You can either factor it like I did above or use the quadratic equation to get your answers.**