some maths help

Got a C in GCSE maths, doing A-levels now and found some easy questions that I can't remember how to do. Help please?

Expand and Simplify (if possible);

5x(4x^2+1)

3(x+2)+4(x-7)

Expand;

(a+2)(a-3)

(2e-3)(3e-2)

(2p+5q)(3p-4q)

Cheers if you can solve these, need to know the answers to a few so i can figure out how to do it, can't ask my lecturer as my lesson is in... less than 9 hours!

You've forgotten FOIL? seriously? AIBT?

>>1
The main principle is that you have objects called terms and terms are what make an algebraic expression.  Terms are separated only by plus and minus; multiplying and dividing link objects as if they were single terms.  When you have a term multiplied to another term, you get a single term.  When you have a term multiplied to two terms that are within brackets, that first term multiplies to both terms separately and the result is two terms.  When you have two terms in brackets multiplied to another two terms in brackets, then you do every combination of multiplying a term from the first pair to a term from the second pair.  The result is four terms (you may have terms that can combine by adding or subtracting though).

Keep in mind that being next to a bracket means multipy.

2(7) = 14, 5(ax) = 5ax, x(x) = x², 3x(4y) = 12xy, 5x(6x) = 30x²
5(x + 3) = 5x + 15, 2x(2a - 3b) = 4ax - 6bx
(a + b)(c + d) = ac + ac + bc + bd, (x + 2)(x - 4) = x² - 4x + 2x - 8 = x² - 2x - 8

Oh, by the way, expand means multiply, which I suppose is what could make something bigger or expand, hence they called it that.  Simplify means make the expression simpler to look at, which typically means adding and subtracting terms (when possible) to have as few terms as possible.