Answers

2014-10-01T18:43:11+08:00
Product means you are going to add two binomials.
Example of binomial:
(5 + 2x)

Example Problem: What is the product of the binomials (3 + x) and (2x + 3)?
Solution:

(3+x) + (2+4)      Right the equation

=3 + x + x + 4    Remove the parenthesis

=x + 2x + 3 + 4   Add

=3x + 7

:)
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sorry i cant edit it. Product means multiply.
my bad
2014-10-02T18:46:05+08:00
Well, we're to use the FOIL method, or First, Outer, Inner, and Last Multiplying Method. Example:
(x + 3)(x + 2) \\ 
 x^{2} + 2x + 3x + 6 \\ 
 x^{2} + 5x + 6

Observe the pattern - we multiplied the first terms in two binomials, then we multiplied the outer terms, and you knew the rest. 
There are some of the patterns used like:
- Sum/Difference
(x + 2)(x - 2) \\ 
 x^{2} - 4

Notice that I only multiplied the first and last term, because we're to cancel the O and I in the method. 

- Same Variable Multiplication
(x + 4)(x + 6) \\ 
 x^{2} + 10x + 24

Notice that we had only to square the first term, add the two constants, and multiply the two constants also.
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